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Finding the Third Proportional to 444,208 and 649,653

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Solution

The third proportional to 444,208 and 649,653 is: 950,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,208 : 649,653 = 649,653 : x
  2. Step 2: Convert to fraction form
    444,208/649,653 = 649,653/x
  3. Step 3: Cross multiply
    444,208x = 649,653 × 649,653
  4. Step 4: Simplify right side
    444,208x = 422,049,020,409
  5. Step 5: Solve for x
    x = 422,049,020,409/444,208
  6. Step 6: Final answer
    x = 950,115.76

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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.