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Finding the Third Proportional to 444,230 and 649,684

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Solution

The third proportional to 444,230 and 649,684 is: 950,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,230 : 649,684 = 649,684 : x
  2. Step 2: Convert to fraction form
    444,230/649,684 = 649,684/x
  3. Step 3: Cross multiply
    444,230x = 649,684 × 649,684
  4. Step 4: Simplify right side
    444,230x = 422,089,299,856
  5. Step 5: Solve for x
    x = 422,089,299,856/444,230
  6. Step 6: Final answer
    x = 950,159.38

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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.