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Finding the Third Proportional to 396,834.19 and 856,392.75

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Solution

The third proportional to 396,834.19 and 856,392.75 is: 1,848,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,834.19 : 856,392.75 = 856,392.75 : x
  2. Step 2: Convert to fraction form
    396,834.19/856,392.75 = 856,392.75/x
  3. Step 3: Cross multiply
    396,834.19x = 856,392.75 × 856,392.75
  4. Step 4: Simplify right side
    396,834.19x = 733,408,542,252.56
  5. Step 5: Solve for x
    x = 733,408,542,252.56/396,834.19
  6. Step 6: Final answer
    x = 1,848,148.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.