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Finding the Third Proportional to 396,096 and 855,322

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Solution

The third proportional to 396,096 and 855,322 is: 1,846,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,096 : 855,322 = 855,322 : x
  2. Step 2: Convert to fraction form
    396,096/855,322 = 855,322/x
  3. Step 3: Cross multiply
    396,096x = 855,322 × 855,322
  4. Step 4: Simplify right side
    396,096x = 731,575,723,684
  5. Step 5: Solve for x
    x = 731,575,723,684/396,096
  6. Step 6: Final answer
    x = 1,846,965.69

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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.