Grains are a antiquated measurement of weight. There are 7000gr/lb. Not really sure who's measurement it was, but drams a ottoman scale weighs powder charges in shotgun shells.
Seems your referring to grain weight of projectile in the two calibers. Both very standard for each respectively. Usually 44mag will be a short, fat, round or flat nose....bore .429. Whereas the 300mag bullet will usually be a long sleek copper jacketed Spitzer, with either a exposed soft point or plastic tip...bore .308
Powder charge for 44 magwould be in the range of 25-30 gr, depending on powder. The 300win is pushed by about 75-80 gr powder. Each very different burn rates. Use pistol powder in rifle cartridges, much too fast, probably resulting in blowing up the gun.