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Finding the Third Proportional to 226,366 and 491,672

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Solution

The third proportional to 226,366 and 491,672 is: 1,067,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,366 : 491,672 = 491,672 : x
  2. Step 2: Convert to fraction form
    226,366/491,672 = 491,672/x
  3. Step 3: Cross multiply
    226,366x = 491,672 × 491,672
  4. Step 4: Simplify right side
    226,366x = 241,741,355,584
  5. Step 5: Solve for x
    x = 241,741,355,584/226,366
  6. Step 6: Final answer
    x = 1,067,922.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.