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Finding the Third Proportional to 502.14 and 524.92

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Solution

The third proportional to 502.14 and 524.92 is: 548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 524.92 = 524.92 : x
  2. Step 2: Convert to fraction form
    502.14/524.92 = 524.92/x
  3. Step 3: Cross multiply
    502.14x = 524.92 × 524.92
  4. Step 4: Simplify right side
    502.14x = 275,538.87
  5. Step 5: Solve for x
    x = 275,538.87/502.14
  6. Step 6: Final answer
    x = 548.73

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Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.