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Finding the Third Proportional to 239,824 and 518,068

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Solution

The third proportional to 239,824 and 518,068 is: 1,119,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,824 : 518,068 = 518,068 : x
  2. Step 2: Convert to fraction form
    239,824/518,068 = 518,068/x
  3. Step 3: Cross multiply
    239,824x = 518,068 × 518,068
  4. Step 4: Simplify right side
    239,824x = 268,394,452,624
  5. Step 5: Solve for x
    x = 268,394,452,624/239,824
  6. Step 6: Final answer
    x = 1,119,130.92

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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.