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Finding the Third Proportional to 491,447.25 and 741,681.56

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Solution

The third proportional to 491,447.25 and 741,681.56 is: 1,119,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,447.25 : 741,681.56 = 741,681.56 : x
  2. Step 2: Convert to fraction form
    491,447.25/741,681.56 = 741,681.56/x
  3. Step 3: Cross multiply
    491,447.25x = 741,681.56 × 741,681.56
  4. Step 4: Simplify right side
    491,447.25x = 550,091,540,152.44
  5. Step 5: Solve for x
    x = 550,091,540,152.44/491,447.25
  6. Step 6: Final answer
    x = 1,119,329.78

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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.