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Finding the Third Proportional to 587,760.75 and 827,694.38

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Solution

The third proportional to 587,760.75 and 827,694.38 is: 1,165,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,760.75 : 827,694.38 = 827,694.38 : x
  2. Step 2: Convert to fraction form
    587,760.75/827,694.38 = 827,694.38/x
  3. Step 3: Cross multiply
    587,760.75x = 827,694.38 × 827,694.38
  4. Step 4: Simplify right side
    587,760.75x = 685,077,978,406.64
  5. Step 5: Solve for x
    x = 685,077,978,406.64/587,760.75
  6. Step 6: Final answer
    x = 1,165,572.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.