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Finding the Third Proportional to 226,612 and 333,654

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Solution

The third proportional to 226,612 and 333,654 is: 491,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,612 : 333,654 = 333,654 : x
  2. Step 2: Convert to fraction form
    226,612/333,654 = 333,654/x
  3. Step 3: Cross multiply
    226,612x = 333,654 × 333,654
  4. Step 4: Simplify right side
    226,612x = 111,324,991,716
  5. Step 5: Solve for x
    x = 111,324,991,716/226,612
  6. Step 6: Final answer
    x = 491,258.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.