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Finding the Third Proportional to 400,243.78 and 856,711.69

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Solution

The third proportional to 400,243.78 and 856,711.69 is: 1,833,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,243.78 : 856,711.69 = 856,711.69 : x
  2. Step 2: Convert to fraction form
    400,243.78/856,711.69 = 856,711.69/x
  3. Step 3: Cross multiply
    400,243.78x = 856,711.69 × 856,711.69
  4. Step 4: Simplify right side
    400,243.78x = 733,954,915,499.10
  5. Step 5: Solve for x
    x = 733,954,915,499.10/400,243.78
  6. Step 6: Final answer
    x = 1,833,769.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.