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Finding the Third Proportional to 337.92 and 529.66

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Solution

The third proportional to 337.92 and 529.66 is: 830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 529.66 = 529.66 : x
  2. Step 2: Convert to fraction form
    337.92/529.66 = 529.66/x
  3. Step 3: Cross multiply
    337.92x = 529.66 × 529.66
  4. Step 4: Simplify right side
    337.92x = 280,544.02
  5. Step 5: Solve for x
    x = 280,544.02/337.92
  6. Step 6: Final answer
    x = 830.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.