A metallurgical product, made of carbon steel and to be galvanized, which is in the form of a strip or of a sheet obtained from a continuously cast intermediate product having the following composition by weight: 0.0005%.ltoreq.C.ltoreq.0.15%; 0.08%.ltoreq.Mn.ltoreq.2%; Si.ltoreq.0.040%; Al.sub.total.ltoreq.0.010%; Al.sub.soluable.ltoreq.0.004%; 0.0050%.ltoreq.O.sub.total.ltoreq.0.0500%; P.ltoreq.0.20%; S.ltoreq.0.10%; each of Cu, Cr, Ni, Mo, W, Co.ltoreq.1%; each of Ti, Nb, V, Zr.ltoreq.0.5%; each of Sn, Sb, As.ltoreq.0.1%; B.ltoreq.0.1%; N.ltoreq.0.0400%; and the remainder being iron and impurities. Also, a process for obtaining a metallurgical intermediate product, which includes: producing in a ladle a liquid steel the composition of which is as above, and in which the dissolved oxygen content is maintained between 0.0050 and 0.0500% by the establishment of a chemical equilibrium between the metal and the ladle slag; and casting the steel on a continuous casting machine.