Soy protein products which can be reconstituted to provide an aqueous acidic solution having a preferred level of clarity are produced by extracting a soy protein source with an aqueous calcium chloride solution to cause solubilization of soy protein from the protein source and separating the resulting aqueous soy protein solution from residual soy protein source. Either, within about 20 minutes of separation step, the aqueous soy protein solution is diluted to a conductivity of less than about 90 mS and the pH of the aqueous soy protein solution is adjusted to about 1.5 to about 4.4 to produce an acidified soy protein solution having an absorbance of visible light at 600 nm (A600) of less than about 0.055, or, within about 40 minutes of the separation step, the aqueous soy protein solution is diluted to a conductivity of less than about 90 mS, the pH of the aqueous soy protein solution is adjusted to about 1.5 to about 4.4, the acidified soy protein solution is heat treated at a temperature of about 70° to
