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Finding the Third Proportional to 239,976 and 518,439

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Solution

The third proportional to 239,976 and 518,439 is: 1,120,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,976 : 518,439 = 518,439 : x
  2. Step 2: Convert to fraction form
    239,976/518,439 = 518,439/x
  3. Step 3: Cross multiply
    239,976x = 518,439 × 518,439
  4. Step 4: Simplify right side
    239,976x = 268,778,996,721
  5. Step 5: Solve for x
    x = 268,778,996,721/239,976
  6. Step 6: Final answer
    x = 1,120,024.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.