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Finding the Third Proportional to 226,200 and 491,376

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Solution

The third proportional to 226,200 and 491,376 is: 1,067,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,200 : 491,376 = 491,376 : x
  2. Step 2: Convert to fraction form
    226,200/491,376 = 491,376/x
  3. Step 3: Cross multiply
    226,200x = 491,376 × 491,376
  4. Step 4: Simplify right side
    226,200x = 241,450,373,376
  5. Step 5: Solve for x
    x = 241,450,373,376/226,200
  6. Step 6: Final answer
    x = 1,067,419.86

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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.