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Finding the Third Proportional to 193,614 and 419,406

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Solution

The third proportional to 193,614 and 419,406 is: 908,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,614 : 419,406 = 419,406 : x
  2. Step 2: Convert to fraction form
    193,614/419,406 = 419,406/x
  3. Step 3: Cross multiply
    193,614x = 419,406 × 419,406
  4. Step 4: Simplify right side
    193,614x = 175,901,392,836
  5. Step 5: Solve for x
    x = 175,901,392,836/193,614
  6. Step 6: Final answer
    x = 908,515.88

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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.