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Finding the Third Proportional to 337.92 and 454.57

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Solution

The third proportional to 337.92 and 454.57 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 454.57 = 454.57 : x
  2. Step 2: Convert to fraction form
    337.92/454.57 = 454.57/x
  3. Step 3: Cross multiply
    337.92x = 454.57 × 454.57
  4. Step 4: Simplify right side
    337.92x = 206,634.17
  5. Step 5: Solve for x
    x = 206,634.17/337.92
  6. Step 6: Final answer
    x = 611.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.