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Finding the Third Proportional to 288,144 and 422,874

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Solution

The third proportional to 288,144 and 422,874 is: 620,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,144 : 422,874 = 422,874 : x
  2. Step 2: Convert to fraction form
    288,144/422,874 = 422,874/x
  3. Step 3: Cross multiply
    288,144x = 422,874 × 422,874
  4. Step 4: Simplify right side
    288,144x = 178,822,419,876
  5. Step 5: Solve for x
    x = 178,822,419,876/288,144
  6. Step 6: Final answer
    x = 620,600.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.