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Finding the Third Proportional to 444,186 and 649,692

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Solution

The third proportional to 444,186 and 649,692 is: 950,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,186 : 649,692 = 649,692 : x
  2. Step 2: Convert to fraction form
    444,186/649,692 = 649,692/x
  3. Step 3: Cross multiply
    444,186x = 649,692 × 649,692
  4. Step 4: Simplify right side
    444,186x = 422,099,694,864
  5. Step 5: Solve for x
    x = 422,099,694,864/444,186
  6. Step 6: Final answer
    x = 950,276.90

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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.