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Finding the Third Proportional to 238,839 and 521,967

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Solution

The third proportional to 238,839 and 521,967 is: 1,140,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,839 : 521,967 = 521,967 : x
  2. Step 2: Convert to fraction form
    238,839/521,967 = 521,967/x
  3. Step 3: Cross multiply
    238,839x = 521,967 × 521,967
  4. Step 4: Simplify right side
    238,839x = 272,449,549,089
  5. Step 5: Solve for x
    x = 272,449,549,089/238,839
  6. Step 6: Final answer
    x = 1,140,724.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.