Finding the Third Proportional to 454 and 494
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Solution
The third proportional to 454 and 494 is: 537.52
Step by Step Solution
- Step 1: Write the proportion equation
454 : 494 = 494 : x - Step 2: Convert to fraction form
454/494 = 494/x - Step 3: Cross multiply
454x = 494 × 494 - Step 4: Simplify right side
454x = 244,036 - Step 5: Solve for x
x = 244,036/454 - Step 6: Final answer
x = 537.52
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.