To find it, you need to:
1. Consult your owner's manual: This is the best place to start. The manual will have a diagram showing the location of all fuses and relays.
2. Check the underhood fuse box: This is the most common location. The box usually has a cover with a diagram showing the location of each fuse and relay. Look for labels like "Cooling Fan," "Radiator Fan," or similar.
3. Look near the battery: Some models place relays in a separate box near the battery.
4. Check the passenger compartment fuse box (less likely): While less common for this component, it's worth a quick check.
If you can't find it using these methods, searching online for "2003 Chevy Malibu cooling fan relay location [your trim level]" might yield more specific results. For example, if your car is a LS model, add that specification to your search. You can also consult a repair manual specific to your year and model of Malibu.