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Finding the Third Proportional to 208,228 and 444,860

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Solution

The third proportional to 208,228 and 444,860 is: 950,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,228 : 444,860 = 444,860 : x
  2. Step 2: Convert to fraction form
    208,228/444,860 = 444,860/x
  3. Step 3: Cross multiply
    208,228x = 444,860 × 444,860
  4. Step 4: Simplify right side
    208,228x = 197,900,419,600
  5. Step 5: Solve for x
    x = 197,900,419,600/208,228
  6. Step 6: Final answer
    x = 950,402.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.