CHICAGO — EHealthInsurance, an online provider of individual, family, and small-business health insurance, has begun offering products to Bank One Corp. customers through www.bankone.com.

EHealthInsurance, of Sunnyvale, Calif., is targeting a range of products to $270 billion-asset Bank One’s individual and small-business customers. Visitors to the Chicago company’s Web site can apply for, research, and compare insurance plans and ancillary products, including dental and vision coverage, from leading health insurance carriers.

Bank One has eight million retail customers and 425,000 small-business customers. Its deal with EHealthInsurance was announced Wednesday.

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