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Finding the Third Proportional to 491,736 and 741,067

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Solution

The third proportional to 491,736 and 741,067 is: 1,116,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,736 : 741,067 = 741,067 : x
  2. Step 2: Convert to fraction form
    491,736/741,067 = 741,067/x
  3. Step 3: Cross multiply
    491,736x = 741,067 × 741,067
  4. Step 4: Simplify right side
    491,736x = 549,180,298,489
  5. Step 5: Solve for x
    x = 549,180,298,489/491,736
  6. Step 6: Final answer
    x = 1,116,819.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.