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Finding the Third Proportional to 396,731.81 and 936,378.56

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Solution

The third proportional to 396,731.81 and 936,378.56 is: 2,210,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,731.81 : 936,378.56 = 936,378.56 : x
  2. Step 2: Convert to fraction form
    396,731.81/936,378.56 = 936,378.56/x
  3. Step 3: Cross multiply
    396,731.81x = 936,378.56 × 936,378.56
  4. Step 4: Simplify right side
    396,731.81x = 876,804,812,309.57
  5. Step 5: Solve for x
    x = 876,804,812,309.57/396,731.81
  6. Step 6: Final answer
    x = 2,210,069.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.