Finding the Third Proportional to 314 and 524
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Solution
The third proportional to 314 and 524 is: 874.45
Step by Step Solution
- Step 1: Write the proportion equation
314 : 524 = 524 : x - Step 2: Convert to fraction form
314/524 = 524/x - Step 3: Cross multiply
314x = 524 × 524 - Step 4: Simplify right side
314x = 274,576 - Step 5: Solve for x
x = 274,576/314 - Step 6: Final answer
x = 874.45
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.