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Finding the Third Proportional to 396,016 and 650,118

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Solution

The third proportional to 396,016 and 650,118 is: 1,067,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,016 : 650,118 = 650,118 : x
  2. Step 2: Convert to fraction form
    396,016/650,118 = 650,118/x
  3. Step 3: Cross multiply
    396,016x = 650,118 × 650,118
  4. Step 4: Simplify right side
    396,016x = 422,653,413,924
  5. Step 5: Solve for x
    x = 422,653,413,924/396,016
  6. Step 6: Final answer
    x = 1,067,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.