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Finding the Third Proportional to 682,983.56 and 1,002,331.97

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Solution

The third proportional to 682,983.56 and 1,002,331.97 is: 1,471,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,983.56 : 1,002,331.97 = 1,002,331.97 : x
  2. Step 2: Convert to fraction form
    682,983.56/1,002,331.97 = 1,002,331.97/x
  3. Step 3: Cross multiply
    682,983.56x = 1,002,331.97 × 1,002,331.97
  4. Step 4: Simplify right side
    682,983.56x = 1,004,669,375,578.25
  5. Step 5: Solve for x
    x = 1,004,669,375,578.25/682,983.56
  6. Step 6: Final answer
    x = 1,471,000.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.