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Finding the Third Proportional to 396,406 and 612,105

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Solution

The third proportional to 396,406 and 612,105 is: 945,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,406 : 612,105 = 612,105 : x
  2. Step 2: Convert to fraction form
    396,406/612,105 = 612,105/x
  3. Step 3: Cross multiply
    396,406x = 612,105 × 612,105
  4. Step 4: Simplify right side
    396,406x = 374,672,531,025
  5. Step 5: Solve for x
    x = 374,672,531,025/396,406
  6. Step 6: Final answer
    x = 945,173.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.