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Finding the Third Proportional to 239,702 and 532,612

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Solution

The third proportional to 239,702 and 532,612 is: 1,183,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,702 : 532,612 = 532,612 : x
  2. Step 2: Convert to fraction form
    239,702/532,612 = 532,612/x
  3. Step 3: Cross multiply
    239,702x = 532,612 × 532,612
  4. Step 4: Simplify right side
    239,702x = 283,675,542,544
  5. Step 5: Solve for x
    x = 283,675,542,544/239,702
  6. Step 6: Final answer
    x = 1,183,450.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.