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Finding the Third Proportional to 361,404 and 536,874

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Solution

The third proportional to 361,404 and 536,874 is: 797,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,404 : 536,874 = 536,874 : x
  2. Step 2: Convert to fraction form
    361,404/536,874 = 536,874/x
  3. Step 3: Cross multiply
    361,404x = 536,874 × 536,874
  4. Step 4: Simplify right side
    361,404x = 288,233,691,876
  5. Step 5: Solve for x
    x = 288,233,691,876/361,404
  6. Step 6: Final answer
    x = 797,538.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.