Profoundly rhymes with:
roundly, soundly, bindley, blandly, blindly, brindley, chandley, fendley, findlay, findley, fondly, friendly, grandly, grindley, handley, handly, hendley, hindley, hundley, kindley, kindly, lindley, pendley, roundly, secondly, soundly, spendley, standley, unfriendly, windley