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Finding the Third Proportional to 226,626 and 499,012

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Solution

The third proportional to 226,626 and 499,012 is: 1,098,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,626 : 499,012 = 499,012 : x
  2. Step 2: Convert to fraction form
    226,626/499,012 = 499,012/x
  3. Step 3: Cross multiply
    226,626x = 499,012 × 499,012
  4. Step 4: Simplify right side
    226,626x = 249,012,976,144
  5. Step 5: Solve for x
    x = 249,012,976,144/226,626
  6. Step 6: Final answer
    x = 1,098,783.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.