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Finding the Third Proportional to 491,438.25 and 781,419.38

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Solution

The third proportional to 491,438.25 and 781,419.38 is: 1,242,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,438.25 : 781,419.38 = 781,419.38 : x
  2. Step 2: Convert to fraction form
    491,438.25/781,419.38 = 781,419.38/x
  3. Step 3: Cross multiply
    491,438.25x = 781,419.38 × 781,419.38
  4. Step 4: Simplify right side
    491,438.25x = 610,616,239,625.39
  5. Step 5: Solve for x
    x = 610,616,239,625.39/491,438.25
  6. Step 6: Final answer
    x = 1,242,508.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.