By Liangping Gao and Ryan Woo BEIJING (Reuters) -China's services activity expanded in October but at its slowest pace in three months, as a decline in overseas orders offset the boost from improved domestic demand, a private survey released on Wednesday showed. The RatingDog China General Services PMI, compiled by S&P Global, slipped to 52.6 from 52.9 in September, staying above the 50-mark that separates growth from contraction. This contrasted slightly with the government's official PMI released on Monday, which rose to 50.2 from 50.1 in September, reflecting differences in sample coverage. RatingDog's index is viewed as a better gauge of smaller, export-oriented service providers along China's east coast, while the official PMI primarily tracks large and medium-sized enterprises, inclu

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