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Finding the Third Proportional to 226,200 and 491,744

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Solution

The third proportional to 226,200 and 491,744 is: 1,069,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,200 : 491,744 = 491,744 : x
  2. Step 2: Convert to fraction form
    226,200/491,744 = 491,744/x
  3. Step 3: Cross multiply
    226,200x = 491,744 × 491,744
  4. Step 4: Simplify right side
    226,200x = 241,812,161,536
  5. Step 5: Solve for x
    x = 241,812,161,536/226,200
  6. Step 6: Final answer
    x = 1,069,019.28

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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.