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Finding the Third Proportional to 238,662 and 519,930

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Solution

The third proportional to 238,662 and 519,930 is: 1,132,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,662 : 519,930 = 519,930 : x
  2. Step 2: Convert to fraction form
    238,662/519,930 = 519,930/x
  3. Step 3: Cross multiply
    238,662x = 519,930 × 519,930
  4. Step 4: Simplify right side
    238,662x = 270,327,204,900
  5. Step 5: Solve for x
    x = 270,327,204,900/238,662
  6. Step 6: Final answer
    x = 1,132,678.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.