Okay...just checked. To make sure of a maximum measurement, I pumped 50psi into one of my Duremes mounted on an Andra 30. The 1:1 ratio held. On the front of my Nomad Mk2, the tire measured an actual 47mmx47mm (rounding fractional millimeters).
As I mentioned earlier, most but not all bike tires inflate to similar 1:1 profiles (or nearly so). In the early--mid 1980s, Panasonic introduced and marketed a tire for the triathlon market that had the belts biased so the tire constrained laterally and allowed to grow vertically so it was oval when inflated. In those days, even racing bikes still had pretty generous bridge/fork clearances but often had narrow forks. The idea was to add some cushioning and rim protection vertically while keeping the tire as narrow as possible. It sold very poorly and was discontinued shortly thereafter.
A touring bicycle I purchased in 1989 was equipped from the factory with radial tires, a special model supplied to the maker under contract and again from Panasonic. I soon swapped them out for standard bias-ply tires because while they worked well enough, they felt horrible under me. The tread would stay planted while the sidewalls would move sideways over the contact patch, making it feel as if the tire was sliding out form under me, especially when cornering and carrying a touring load. The only "cure" was to run them inflated so they were rock hard, which defeated the purpose. They were soon pulled from the market as well.
'Hope the measurements help you.
Best,
Dan.