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Finding the Third Proportional to 247,115.50 and 539,543.50

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Solution

The third proportional to 247,115.50 and 539,543.50 is: 1,178,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,115.50 : 539,543.50 = 539,543.50 : x
  2. Step 2: Convert to fraction form
    247,115.50/539,543.50 = 539,543.50/x
  3. Step 3: Cross multiply
    247,115.50x = 539,543.50 × 539,543.50
  4. Step 4: Simplify right side
    247,115.50x = 291,107,188,392.25
  5. Step 5: Solve for x
    x = 291,107,188,392.25/247,115.50
  6. Step 6: Final answer
    x = 1,178,020.76

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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.