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Finding the Third Proportional to 247,062 and 539,302

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Solution

The third proportional to 247,062 and 539,302 is: 1,177,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,062 : 539,302 = 539,302 : x
  2. Step 2: Convert to fraction form
    247,062/539,302 = 539,302/x
  3. Step 3: Cross multiply
    247,062x = 539,302 × 539,302
  4. Step 4: Simplify right side
    247,062x = 290,846,647,204
  5. Step 5: Solve for x
    x = 290,846,647,204/247,062
  6. Step 6: Final answer
    x = 1,177,221.29

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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.