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Finding the Third Proportional to 397,450.88 and 861,544.50

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Solution

The third proportional to 397,450.88 and 861,544.50 is: 1,867,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,450.88 : 861,544.50 = 861,544.50 : x
  2. Step 2: Convert to fraction form
    397,450.88/861,544.50 = 861,544.50/x
  3. Step 3: Cross multiply
    397,450.88x = 861,544.50 × 861,544.50
  4. Step 4: Simplify right side
    397,450.88x = 742,258,925,480.25
  5. Step 5: Solve for x
    x = 742,258,925,480.25/397,450.88
  6. Step 6: Final answer
    x = 1,867,548.85

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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.