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Finding the Third Proportional to 396,849.38 and 936,658.69

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Solution

The third proportional to 396,849.38 and 936,658.69 is: 2,210,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,849.38 : 936,658.69 = 936,658.69 : x
  2. Step 2: Convert to fraction form
    396,849.38/936,658.69 = 936,658.69/x
  3. Step 3: Cross multiply
    396,849.38x = 936,658.69 × 936,658.69
  4. Step 4: Simplify right side
    396,849.38x = 877,329,496,869.22
  5. Step 5: Solve for x
    x = 877,329,496,869.22/396,849.38
  6. Step 6: Final answer
    x = 2,210,736.75

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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.