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Finding the Third Proportional to 226,467 and 462,762

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Solution

The third proportional to 226,467 and 462,762 is: 945,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,467 : 462,762 = 462,762 : x
  2. Step 2: Convert to fraction form
    226,467/462,762 = 462,762/x
  3. Step 3: Cross multiply
    226,467x = 462,762 × 462,762
  4. Step 4: Simplify right side
    226,467x = 214,148,668,644
  5. Step 5: Solve for x
    x = 214,148,668,644/226,467
  6. Step 6: Final answer
    x = 945,606.51

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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.