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Finding the Third Proportional to 224,419.50 and 491,067

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Solution

The third proportional to 224,419.50 and 491,067 is: 1,074,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,419.50 : 491,067 = 491,067 : x
  2. Step 2: Convert to fraction form
    224,419.50/491,067 = 491,067/x
  3. Step 3: Cross multiply
    224,419.50x = 491,067 × 491,067
  4. Step 4: Simplify right side
    224,419.50x = 241,146,798,489
  5. Step 5: Solve for x
    x = 241,146,798,489/224,419.50
  6. Step 6: Final answer
    x = 1,074,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.