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Finding the Third Proportional to 193,630 and 419,427

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Solution

The third proportional to 193,630 and 419,427 is: 908,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,630 : 419,427 = 419,427 : x
  2. Step 2: Convert to fraction form
    193,630/419,427 = 419,427/x
  3. Step 3: Cross multiply
    193,630x = 419,427 × 419,427
  4. Step 4: Simplify right side
    193,630x = 175,919,008,329
  5. Step 5: Solve for x
    x = 175,919,008,329/193,630
  6. Step 6: Final answer
    x = 908,531.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.