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Finding the Third Proportional to 444,226 and 649,678

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Solution

The third proportional to 444,226 and 649,678 is: 950,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,226 : 649,678 = 649,678 : x
  2. Step 2: Convert to fraction form
    444,226/649,678 = 649,678/x
  3. Step 3: Cross multiply
    444,226x = 649,678 × 649,678
  4. Step 4: Simplify right side
    444,226x = 422,081,503,684
  5. Step 5: Solve for x
    x = 422,081,503,684/444,226
  6. Step 6: Final answer
    x = 950,150.38

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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.