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Finding the Third Proportional to 571,754.81 and 762,235.31

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Solution

The third proportional to 571,754.81 and 762,235.31 is: 1,016,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,754.81 : 762,235.31 = 762,235.31 : x
  2. Step 2: Convert to fraction form
    571,754.81/762,235.31 = 762,235.31/x
  3. Step 3: Cross multiply
    571,754.81x = 762,235.31 × 762,235.31
  4. Step 4: Simplify right side
    571,754.81x = 581,002,671,621.97
  5. Step 5: Solve for x
    x = 581,002,671,621.97/571,754.81
  6. Step 6: Final answer
    x = 1,016,174.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.