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Finding the Third Proportional to 247,070.25 and 539,452.41

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Solution

The third proportional to 247,070.25 and 539,452.41 is: 1,177,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,070.25 : 539,452.41 = 539,452.41 : x
  2. Step 2: Convert to fraction form
    247,070.25/539,452.41 = 539,452.41/x
  3. Step 3: Cross multiply
    247,070.25x = 539,452.41 × 539,452.41
  4. Step 4: Simplify right side
    247,070.25x = 291,008,898,608.92
  5. Step 5: Solve for x
    x = 291,008,898,608.92/247,070.25
  6. Step 6: Final answer
    x = 1,177,838.69

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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.