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Finding the Third Proportional to 226,202 and 491,380

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Solution

The third proportional to 226,202 and 491,380 is: 1,067,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,202 : 491,380 = 491,380 : x
  2. Step 2: Convert to fraction form
    226,202/491,380 = 491,380/x
  3. Step 3: Cross multiply
    226,202x = 491,380 × 491,380
  4. Step 4: Simplify right side
    226,202x = 241,454,304,400
  5. Step 5: Solve for x
    x = 241,454,304,400/226,202
  6. Step 6: Final answer
    x = 1,067,427.81

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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.