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Finding the Third Proportional to 337.69 and 507.66

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Solution

The third proportional to 337.69 and 507.66 is: 763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 507.66 = 507.66 : x
  2. Step 2: Convert to fraction form
    337.69/507.66 = 507.66/x
  3. Step 3: Cross multiply
    337.69x = 507.66 × 507.66
  4. Step 4: Simplify right side
    337.69x = 257,714.87
  5. Step 5: Solve for x
    x = 257,714.87/337.69
  6. Step 6: Final answer
    x = 763.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.