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Finding the Third Proportional to 193,644 and 419,458

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Solution

The third proportional to 193,644 and 419,458 is: 908,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,644 : 419,458 = 419,458 : x
  2. Step 2: Convert to fraction form
    193,644/419,458 = 419,458/x
  3. Step 3: Cross multiply
    193,644x = 419,458 × 419,458
  4. Step 4: Simplify right side
    193,644x = 175,945,013,764
  5. Step 5: Solve for x
    x = 175,945,013,764/193,644
  6. Step 6: Final answer
    x = 908,600.39

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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.