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Finding the Third Proportional to 269,974 and 419,110

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Solution

The third proportional to 269,974 and 419,110 is: 650,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,974 : 419,110 = 419,110 : x
  2. Step 2: Convert to fraction form
    269,974/419,110 = 419,110/x
  3. Step 3: Cross multiply
    269,974x = 419,110 × 419,110
  4. Step 4: Simplify right side
    269,974x = 175,653,192,100
  5. Step 5: Solve for x
    x = 175,653,192,100/269,974
  6. Step 6: Final answer
    x = 650,630.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.