Blackstone, a private equity, alternative asset management, and financial services firm, agreed to acquire a majority stake in CoreTrust, a commercial sourcing agency, from HCA Healthcare, a health care facilities operator. Financial terms were not disclosed. HCA’s HealthTrust subsidiary will continue to hold a minority stake in CoreTrust. Blackstone is banking on CoreTrust’s customers to stay on given the advantage of economies of scale, and to hedge against inflation. It also plans to expand the company’s reach beyond its main clientele.