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Finding the Third Proportional to 226,441 and 462,712

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Solution

The third proportional to 226,441 and 462,712 is: 945,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,441 : 462,712 = 462,712 : x
  2. Step 2: Convert to fraction form
    226,441/462,712 = 462,712/x
  3. Step 3: Cross multiply
    226,441x = 462,712 × 462,712
  4. Step 4: Simplify right side
    226,441x = 214,102,394,944
  5. Step 5: Solve for x
    x = 214,102,394,944/226,441
  6. Step 6: Final answer
    x = 945,510.73

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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.