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Finding the Third Proportional to 418.78 and 502.03

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Solution

The third proportional to 418.78 and 502.03 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 502.03 = 502.03 : x
  2. Step 2: Convert to fraction form
    418.78/502.03 = 502.03/x
  3. Step 3: Cross multiply
    418.78x = 502.03 × 502.03
  4. Step 4: Simplify right side
    418.78x = 252,035.38
  5. Step 5: Solve for x
    x = 252,035.38/418.78
  6. Step 6: Final answer
    x = 601.83

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.