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Finding the Third Proportional to 444,224.50 and 649,676

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Solution

The third proportional to 444,224.50 and 649,676 is: 950,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,224.50 : 649,676 = 649,676 : x
  2. Step 2: Convert to fraction form
    444,224.50/649,676 = 649,676/x
  3. Step 3: Cross multiply
    444,224.50x = 649,676 × 649,676
  4. Step 4: Simplify right side
    444,224.50x = 422,078,904,976
  5. Step 5: Solve for x
    x = 422,078,904,976/444,224.50
  6. Step 6: Final answer
    x = 950,147.74

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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.