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Finding the Third Proportional to 397,450.69 and 861,543.56

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Solution

The third proportional to 397,450.69 and 861,543.56 is: 1,867,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,450.69 : 861,543.56 = 861,543.56 : x
  2. Step 2: Convert to fraction form
    397,450.69/861,543.56 = 861,543.56/x
  3. Step 3: Cross multiply
    397,450.69x = 861,543.56 × 861,543.56
  4. Step 4: Simplify right side
    397,450.69x = 742,257,310,085.19
  5. Step 5: Solve for x
    x = 742,257,310,085.19/397,450.69
  6. Step 6: Final answer
    x = 1,867,545.67

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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.