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Finding the Third Proportional to 664,969.50 and 1,002,379.50

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Solution

The third proportional to 664,969.50 and 1,002,379.50 is: 1,510,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,969.50 : 1,002,379.50 = 1,002,379.50 : x
  2. Step 2: Convert to fraction form
    664,969.50/1,002,379.50 = 1,002,379.50/x
  3. Step 3: Cross multiply
    664,969.50x = 1,002,379.50 × 1,002,379.50
  4. Step 4: Simplify right side
    664,969.50x = 1,004,764,662,020.25
  5. Step 5: Solve for x
    x = 1,004,764,662,020.25/664,969.50
  6. Step 6: Final answer
    x = 1,510,993.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.