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Finding the Third Proportional to 337.29 and 517.96

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Solution

The third proportional to 337.29 and 517.96 is: 795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.29 : 517.96 = 517.96 : x
  2. Step 2: Convert to fraction form
    337.29/517.96 = 517.96/x
  3. Step 3: Cross multiply
    337.29x = 517.96 × 517.96
  4. Step 4: Simplify right side
    337.29x = 268,279.49
  5. Step 5: Solve for x
    x = 268,279.49/337.29
  6. Step 6: Final answer
    x = 795.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.