The 300 will do the job. Have shot a few grizz with the 375 and really liked how it worked. I would shoot behind the shoulder. The only bears that I have had to follow up were on blacks that had been shot in the shoulder. On one of them the bullet went through the shoulder without breaking it and then broke the far shoulder. Got the bear 45 minutes later and a few hundred yards away. Behind the shoulder has never given me any trouble.
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