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Finding the Third Proportional to 226,443 and 462,717

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Solution

The third proportional to 226,443 and 462,717 is: 945,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,443 : 462,717 = 462,717 : x
  2. Step 2: Convert to fraction form
    226,443/462,717 = 462,717/x
  3. Step 3: Cross multiply
    226,443x = 462,717 × 462,717
  4. Step 4: Simplify right side
    226,443x = 214,107,022,089
  5. Step 5: Solve for x
    x = 214,107,022,089/226,443
  6. Step 6: Final answer
    x = 945,522.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.