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Finding the Third Proportional to 378,958.50 and 820,990.69

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Solution

The third proportional to 378,958.50 and 820,990.69 is: 1,778,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,958.50 : 820,990.69 = 820,990.69 : x
  2. Step 2: Convert to fraction form
    378,958.50/820,990.69 = 820,990.69/x
  3. Step 3: Cross multiply
    378,958.50x = 820,990.69 × 820,990.69
  4. Step 4: Simplify right side
    378,958.50x = 674,025,708,961.72
  5. Step 5: Solve for x
    x = 674,025,708,961.72/378,958.50
  6. Step 6: Final answer
    x = 1,778,626.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.