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Finding the Third Proportional to 444,227 and 649,680

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Solution

The third proportional to 444,227 and 649,680 is: 950,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,227 : 649,680 = 649,680 : x
  2. Step 2: Convert to fraction form
    444,227/649,680 = 649,680/x
  3. Step 3: Cross multiply
    444,227x = 649,680 × 649,680
  4. Step 4: Simplify right side
    444,227x = 422,084,102,400
  5. Step 5: Solve for x
    x = 422,084,102,400/444,227
  6. Step 6: Final answer
    x = 950,154.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.