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Finding the Third Proportional to 239,996 and 518,471

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Solution

The third proportional to 239,996 and 518,471 is: 1,120,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,996 : 518,471 = 518,471 : x
  2. Step 2: Convert to fraction form
    239,996/518,471 = 518,471/x
  3. Step 3: Cross multiply
    239,996x = 518,471 × 518,471
  4. Step 4: Simplify right side
    239,996x = 268,812,177,841
  5. Step 5: Solve for x
    x = 268,812,177,841/239,996
  6. Step 6: Final answer
    x = 1,120,069.41

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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.