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Finding the Third Proportional to 564,769.13 and 1,241,638.31

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Solution

The third proportional to 564,769.13 and 1,241,638.31 is: 2,729,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,769.13 : 1,241,638.31 = 1,241,638.31 : x
  2. Step 2: Convert to fraction form
    564,769.13/1,241,638.31 = 1,241,638.31/x
  3. Step 3: Cross multiply
    564,769.13x = 1,241,638.31 × 1,241,638.31
  4. Step 4: Simplify right side
    564,769.13x = 1,541,665,699,067.85
  5. Step 5: Solve for x
    x = 1,541,665,699,067.85/564,769.13
  6. Step 6: Final answer
    x = 2,729,727.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.