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Finding the Third Proportional to 444,161.81 and 649,657.13

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Solution

The third proportional to 444,161.81 and 649,657.13 is: 950,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,161.81 : 649,657.13 = 649,657.13 : x
  2. Step 2: Convert to fraction form
    444,161.81/649,657.13 = 649,657.13/x
  3. Step 3: Cross multiply
    444,161.81x = 649,657.13 × 649,657.13
  4. Step 4: Simplify right side
    444,161.81x = 422,054,380,063.27
  5. Step 5: Solve for x
    x = 422,054,380,063.27/444,161.81
  6. Step 6: Final answer
    x = 950,226.63

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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.