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Finding the Third Proportional to 485,377.31 and 759,754.69

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Solution

The third proportional to 485,377.31 and 759,754.69 is: 1,189,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,377.31 : 759,754.69 = 759,754.69 : x
  2. Step 2: Convert to fraction form
    485,377.31/759,754.69 = 759,754.69/x
  3. Step 3: Cross multiply
    485,377.31x = 759,754.69 × 759,754.69
  4. Step 4: Simplify right side
    485,377.31x = 577,227,185,178.22
  5. Step 5: Solve for x
    x = 577,227,185,178.22/485,377.31
  6. Step 6: Final answer
    x = 1,189,233.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.