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Using 9.32, 5.88 million Upsilon(2S,3S) decays taken with the CLEO-IIIdetector, we obtain five product branching fractions for the exclusiveprocesses Upsilon(2S) => gamma chi_{b0,1,2}(1P) => gamma gamma Upsilon(1S) andUpsilon(3S) => gamma chi_{b1,2}(1P) => gamma gamma Upsilon(1S). We observe thetransition chi_{b0}(1P) => gamma Upsilon(1S) for the first time. Using theknown branching fractions for B[Upsilon(2S) => gamma chi_{bJ}(1P)], we extractvalues for B[chi_{bJ}(1P) => gamma Upsilon(1S)] for J=0, 1, 2. In turn, thesevalues can be used to unfold the Upsilon(3S) product branching fractions toobtain values for B[Upsilon(3S) => gamma chi_{b1,2}(1P) for the first timeindividually. Comparison of these with each other and with the branchingfraction B[Upsilon(3S) => gamma chi_{b0}] previously measured by CLEO providestests of relativistic corrections to electric dipole matrix elements.

Measurements of branching fractions for electromagnetic transitions involving the $\chi_{bJ}(1P)$ states