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Finding the Third Proportional to 250,589 and 521,914

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Solution

The third proportional to 250,589 and 521,914 is: 1,087,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,589 : 521,914 = 521,914 : x
  2. Step 2: Convert to fraction form
    250,589/521,914 = 521,914/x
  3. Step 3: Cross multiply
    250,589x = 521,914 × 521,914
  4. Step 4: Simplify right side
    250,589x = 272,394,223,396
  5. Step 5: Solve for x
    x = 272,394,223,396/250,589
  6. Step 6: Final answer
    x = 1,087,015.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.