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Finding the Third Proportional to 485,632.97 and 760,149.56

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Solution

The third proportional to 485,632.97 and 760,149.56 is: 1,189,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,632.97 : 760,149.56 = 760,149.56 : x
  2. Step 2: Convert to fraction form
    485,632.97/760,149.56 = 760,149.56/x
  3. Step 3: Cross multiply
    485,632.97x = 760,149.56 × 760,149.56
  4. Step 4: Simplify right side
    485,632.97x = 577,827,357,368.94
  5. Step 5: Solve for x
    x = 577,827,357,368.94/485,632.97
  6. Step 6: Final answer
    x = 1,189,843.76

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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.