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Finding the Third Proportional to 259,774 and 539,959

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Solution

The third proportional to 259,774 and 539,959 is: 1,122,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,774 : 539,959 = 539,959 : x
  2. Step 2: Convert to fraction form
    259,774/539,959 = 539,959/x
  3. Step 3: Cross multiply
    259,774x = 539,959 × 539,959
  4. Step 4: Simplify right side
    259,774x = 291,555,721,681
  5. Step 5: Solve for x
    x = 291,555,721,681/259,774
  6. Step 6: Final answer
    x = 1,122,343.74

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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.