Finding the Third Proportional to 416 and 640
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Solution
The third proportional to 416 and 640 is: 984.62
Step by Step Solution
- Step 1: Write the proportion equation
416 : 640 = 640 : x - Step 2: Convert to fraction form
416/640 = 640/x - Step 3: Cross multiply
416x = 640 × 640 - Step 4: Simplify right side
416x = 409,600 - Step 5: Solve for x
x = 409,600/416 - Step 6: Final answer
x = 984.62
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.