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Finding the Third Proportional to 337.57 and 454.04

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Solution

The third proportional to 337.57 and 454.04 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.57 : 454.04 = 454.04 : x
  2. Step 2: Convert to fraction form
    337.57/454.04 = 454.04/x
  3. Step 3: Cross multiply
    337.57x = 454.04 × 454.04
  4. Step 4: Simplify right side
    337.57x = 206,155.02
  5. Step 5: Solve for x
    x = 206,155.02/337.57
  6. Step 6: Final answer
    x = 610.70

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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.