Turboprop engines using centrifugal compressors
that size usually run around 80 thousand to 100 thousand RPM.
They probably do develop 3:1 compression per stage at those speeds.

They get up to 15:1 per stage out of turbine engine
centrifugal compressors, with a max of two stages, but you won't get 15
times 15 with a two-stage. Diffuser pressures downstream of the
compressor are typically around 350 psi.

Dan