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Finding the Third Proportional to 396,843 and 936,610.50

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Solution

The third proportional to 396,843 and 936,610.50 is: 2,210,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,843 : 936,610.50 = 936,610.50 : x
  2. Step 2: Convert to fraction form
    396,843/936,610.50 = 936,610.50/x
  3. Step 3: Cross multiply
    396,843x = 936,610.50 × 936,610.50
  4. Step 4: Simplify right side
    396,843x = 877,239,228,710.25
  5. Step 5: Solve for x
    x = 877,239,228,710.25/396,843
  6. Step 6: Final answer
    x = 2,210,544.80

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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.