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Well, I am an Engineer myself, and the first thing upon graduation is... Find work! It does not matter if it is field related or not, but it is certainly easier to find a job when you have a job, than without.
Your concentration can play a big role in your application, but most companies will have several fields listed in their requirements section. You may find it difficult to find "entry level" jobs if you have no experience, but do not let that stop you from applying. (I would not recommend applying to management positions that require 15-20 years of field-related work though) But if they prefer 3-5 years and you have 0, soup up an appetizing resume and give it your best shot. It never hurts, and who knows, you may even wind up with an interview! I know from experience.
If that does not work, try internships if you have not already.. Employers are more intrigued by your work, than by your grades or GPA. Internships are a great way to get your foot in the door, and show future full-time employers you are passionate, have experience, and so.. you are a plausible candidate