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Finding the Third Proportional to 247,061 and 539,301

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Solution

The third proportional to 247,061 and 539,301 is: 1,177,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,061 : 539,301 = 539,301 : x
  2. Step 2: Convert to fraction form
    247,061/539,301 = 539,301/x
  3. Step 3: Cross multiply
    247,061x = 539,301 × 539,301
  4. Step 4: Simplify right side
    247,061x = 290,845,568,601
  5. Step 5: Solve for x
    x = 290,845,568,601/247,061
  6. Step 6: Final answer
    x = 1,177,221.69

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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.