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Finding the Third Proportional to 682,983.50 and 1,002,331.88

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Solution

The third proportional to 682,983.50 and 1,002,331.88 is: 1,471,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,983.50 : 1,002,331.88 = 1,002,331.88 : x
  2. Step 2: Convert to fraction form
    682,983.50/1,002,331.88 = 1,002,331.88/x
  3. Step 3: Cross multiply
    682,983.50x = 1,002,331.88 × 1,002,331.88
  4. Step 4: Simplify right side
    682,983.50x = 1,004,669,187,641.02
  5. Step 5: Solve for x
    x = 1,004,669,187,641.02/682,983.50
  6. Step 6: Final answer
    x = 1,471,000.67

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