This is the 9265th most frequent Russian word.
спасенного
"Спасенного" means "of the saved" or "rescued" (genitive or accusative singular, masculine or neuter).
In this sentence, 'спасенного' is the past participle form of the verb 'спасти', meaning 'rescued'. It functions to describe the state of the person who was rescued from the fire.
Этот подарок предназначен для спасенного из огня человека.
This gift is intended for the person rescued from the fire.
Here, 'спасенного' refers to a puppy that has been rescued by the subject of the sentence. It indicates the result of the action performed by 'him'.
Он рассказал историю о спасенном им щенке.
He told a story about the puppy he rescued.
In this instance, 'спасенного' is used to describe a child who was saved by two fishermen. It identifies the individual who received the saving action.