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Finding the Third Proportional to 396,663.75 and 856,446.75

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Solution

The third proportional to 396,663.75 and 856,446.75 is: 1,849,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,663.75 : 856,446.75 = 856,446.75 : x
  2. Step 2: Convert to fraction form
    396,663.75/856,446.75 = 856,446.75/x
  3. Step 3: Cross multiply
    396,663.75x = 856,446.75 × 856,446.75
  4. Step 4: Simplify right side
    396,663.75x = 733,501,035,585.56
  5. Step 5: Solve for x
    x = 733,501,035,585.56/396,663.75
  6. Step 6: Final answer
    x = 1,849,175.87

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Why These Related Problems?

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