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Finding the Third Proportional to 564,823.13 and 1,241,593.31

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Solution

The third proportional to 564,823.13 and 1,241,593.31 is: 2,729,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,823.13 : 1,241,593.31 = 1,241,593.31 : x
  2. Step 2: Convert to fraction form
    564,823.13/1,241,593.31 = 1,241,593.31/x
  3. Step 3: Cross multiply
    564,823.13x = 1,241,593.31 × 1,241,593.31
  4. Step 4: Simplify right side
    564,823.13x = 1,541,553,953,644.72
  5. Step 5: Solve for x
    x = 1,541,553,953,644.72/564,823.13
  6. Step 6: Final answer
    x = 2,729,268.48

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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.