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Finding the Third Proportional to 508,626 and 747,351

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Solution

The third proportional to 508,626 and 747,351 is: 1,098,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,626 : 747,351 = 747,351 : x
  2. Step 2: Convert to fraction form
    508,626/747,351 = 747,351/x
  3. Step 3: Cross multiply
    508,626x = 747,351 × 747,351
  4. Step 4: Simplify right side
    508,626x = 558,533,517,201
  5. Step 5: Solve for x
    x = 558,533,517,201/508,626
  6. Step 6: Final answer
    x = 1,098,122.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.