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Finding the Third Proportional to 247,113.38 and 539,539.13

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Solution

The third proportional to 247,113.38 and 539,539.13 is: 1,178,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,113.38 : 539,539.13 = 539,539.13 : x
  2. Step 2: Convert to fraction form
    247,113.38/539,539.13 = 539,539.13/x
  3. Step 3: Cross multiply
    247,113.38x = 539,539.13 × 539,539.13
  4. Step 4: Simplify right side
    247,113.38x = 291,102,467,405.77
  5. Step 5: Solve for x
    x = 291,102,467,405.77/247,113.38
  6. Step 6: Final answer
    x = 1,178,011.78

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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.