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Finding the Third Proportional to 239,708 and 532,626

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Solution

The third proportional to 239,708 and 532,626 is: 1,183,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,708 : 532,626 = 532,626 : x
  2. Step 2: Convert to fraction form
    239,708/532,626 = 532,626/x
  3. Step 3: Cross multiply
    239,708x = 532,626 × 532,626
  4. Step 4: Simplify right side
    239,708x = 283,690,455,876
  5. Step 5: Solve for x
    x = 283,690,455,876/239,708
  6. Step 6: Final answer
    x = 1,183,483.47

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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.