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Finding the Third Proportional to 247,057 and 539,293

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Solution

The third proportional to 247,057 and 539,293 is: 1,177,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,057 : 539,293 = 539,293 : x
  2. Step 2: Convert to fraction form
    247,057/539,293 = 539,293/x
  3. Step 3: Cross multiply
    247,057x = 539,293 × 539,293
  4. Step 4: Simplify right side
    247,057x = 290,836,939,849
  5. Step 5: Solve for x
    x = 290,836,939,849/247,057
  6. Step 6: Final answer
    x = 1,177,205.83

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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.