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Finding the Third Proportional to 485,640.56 and 760,159.69

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Solution

The third proportional to 485,640.56 and 760,159.69 is: 1,189,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,640.56 : 760,159.69 = 760,159.69 : x
  2. Step 2: Convert to fraction form
    485,640.56/760,159.69 = 760,159.69/x
  3. Step 3: Cross multiply
    485,640.56x = 760,159.69 × 760,159.69
  4. Step 4: Simplify right side
    485,640.56x = 577,842,750,500.10
  5. Step 5: Solve for x
    x = 577,842,750,500.10/485,640.56
  6. Step 6: Final answer
    x = 1,189,856.85

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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.