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Finding the Third Proportional to 247,788 and 541,089

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Solution

The third proportional to 247,788 and 541,089 is: 1,181,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,788 : 541,089 = 541,089 : x
  2. Step 2: Convert to fraction form
    247,788/541,089 = 541,089/x
  3. Step 3: Cross multiply
    247,788x = 541,089 × 541,089
  4. Step 4: Simplify right side
    247,788x = 292,777,305,921
  5. Step 5: Solve for x
    x = 292,777,305,921/247,788
  6. Step 6: Final answer
    x = 1,181,563.70

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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.