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Finding the Third Proportional to 467,938 and 517,145

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Solution

The third proportional to 467,938 and 517,145 is: 571,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,938 : 517,145 = 517,145 : x
  2. Step 2: Convert to fraction form
    467,938/517,145 = 517,145/x
  3. Step 3: Cross multiply
    467,938x = 517,145 × 517,145
  4. Step 4: Simplify right side
    467,938x = 267,438,951,025
  5. Step 5: Solve for x
    x = 267,438,951,025/467,938
  6. Step 6: Final answer
    x = 571,526.47

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.