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Finding the Third Proportional to 259,769 and 539,950

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Solution

The third proportional to 259,769 and 539,950 is: 1,122,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,769 : 539,950 = 539,950 : x
  2. Step 2: Convert to fraction form
    259,769/539,950 = 539,950/x
  3. Step 3: Cross multiply
    259,769x = 539,950 × 539,950
  4. Step 4: Simplify right side
    259,769x = 291,546,002,500
  5. Step 5: Solve for x
    x = 291,546,002,500/259,769
  6. Step 6: Final answer
    x = 1,122,327.92

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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.