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Finding the Third Proportional to 226,756 and 494,956

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Solution

The third proportional to 226,756 and 494,956 is: 1,080,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,756 : 494,956 = 494,956 : x
  2. Step 2: Convert to fraction form
    226,756/494,956 = 494,956/x
  3. Step 3: Cross multiply
    226,756x = 494,956 × 494,956
  4. Step 4: Simplify right side
    226,756x = 244,981,441,936
  5. Step 5: Solve for x
    x = 244,981,441,936/226,756
  6. Step 6: Final answer
    x = 1,080,374.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.