Finding the Third Proportional to 413 and 477
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Solution
The third proportional to 413 and 477 is: 550.92
Step by Step Solution
- Step 1: Write the proportion equation
413 : 477 = 477 : x - Step 2: Convert to fraction form
413/477 = 477/x - Step 3: Cross multiply
413x = 477 × 477 - Step 4: Simplify right side
413x = 227,529 - Step 5: Solve for x
x = 227,529/413 - Step 6: Final answer
x = 550.92
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.