The charge weight is easy to find out - pull a bullet and weigh the powder..... ;-})>
The specific powder is another matter altogether. You'll be able to determine the basic geometry (ball vs. tubular/extruded), but the burn rate at best will be a WAG.....
I have also read comments from others much more knowledgaeble than I am that manufacturers typically use non-canister grade powders. In other words, we can't go and buy the exact same powder, since the manufacturers get a batch of a burn rate +- whatever tolerance, probably at a much better price than $40 a pound.
With the charge weight, and the advertised muzzle velocity, you could always lookup those two factors in reputable reloading manuals and narrow down the possibilities to duplicate the load.