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Finding the Third Proportional to 444,185 and 649,682

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Solution

The third proportional to 444,185 and 649,682 is: 950,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,185 : 649,682 = 649,682 : x
  2. Step 2: Convert to fraction form
    444,185/649,682 = 649,682/x
  3. Step 3: Cross multiply
    444,185x = 649,682 × 649,682
  4. Step 4: Simplify right side
    444,185x = 422,086,701,124
  5. Step 5: Solve for x
    x = 422,086,701,124/444,185
  6. Step 6: Final answer
    x = 950,249.79

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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.