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Finding the Third Proportional to 247,076.44 and 539,467.31

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Solution

The third proportional to 247,076.44 and 539,467.31 is: 1,177,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,076.44 : 539,467.31 = 539,467.31 : x
  2. Step 2: Convert to fraction form
    247,076.44/539,467.31 = 539,467.31/x
  3. Step 3: Cross multiply
    247,076.44x = 539,467.31 × 539,467.31
  4. Step 4: Simplify right side
    247,076.44x = 291,024,981,255.97
  5. Step 5: Solve for x
    x = 291,024,981,255.97/247,076.44
  6. Step 6: Final answer
    x = 1,177,874.28

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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.