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Finding the Third Proportional to 238,524 and 519,672

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Solution

The third proportional to 238,524 and 519,672 is: 1,132,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,524 : 519,672 = 519,672 : x
  2. Step 2: Convert to fraction form
    238,524/519,672 = 519,672/x
  3. Step 3: Cross multiply
    238,524x = 519,672 × 519,672
  4. Step 4: Simplify right side
    238,524x = 270,058,987,584
  5. Step 5: Solve for x
    x = 270,058,987,584/238,524
  6. Step 6: Final answer
    x = 1,132,208.87

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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.