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Finding the Third Proportional to 239,331 and 486,510

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Solution

The third proportional to 239,331 and 486,510 is: 988,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,331 : 486,510 = 486,510 : x
  2. Step 2: Convert to fraction form
    239,331/486,510 = 486,510/x
  3. Step 3: Cross multiply
    239,331x = 486,510 × 486,510
  4. Step 4: Simplify right side
    239,331x = 236,691,980,100
  5. Step 5: Solve for x
    x = 236,691,980,100/239,331
  6. Step 6: Final answer
    x = 988,973.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.