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Finding the Third Proportional to 485,382 and 759,761.25

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Solution

The third proportional to 485,382 and 759,761.25 is: 1,189,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,382 : 759,761.25 = 759,761.25 : x
  2. Step 2: Convert to fraction form
    485,382/759,761.25 = 759,761.25/x
  3. Step 3: Cross multiply
    485,382x = 759,761.25 × 759,761.25
  4. Step 4: Simplify right side
    485,382x = 577,237,157,001.56
  5. Step 5: Solve for x
    x = 577,237,157,001.56/485,382
  6. Step 6: Final answer
    x = 1,189,243.02

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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.