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Finding the Third Proportional to 444,224 and 649,675

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Solution

The third proportional to 444,224 and 649,675 is: 950,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,224 : 649,675 = 649,675 : x
  2. Step 2: Convert to fraction form
    444,224/649,675 = 649,675/x
  3. Step 3: Cross multiply
    444,224x = 649,675 × 649,675
  4. Step 4: Simplify right side
    444,224x = 422,077,605,625
  5. Step 5: Solve for x
    x = 422,077,605,625/444,224
  6. Step 6: Final answer
    x = 950,145.89

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Why These Related Problems?

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