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Finding the Third Proportional to 269,946 and 419,067

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Solution

The third proportional to 269,946 and 419,067 is: 650,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,946 : 419,067 = 419,067 : x
  2. Step 2: Convert to fraction form
    269,946/419,067 = 419,067/x
  3. Step 3: Cross multiply
    269,946x = 419,067 × 419,067
  4. Step 4: Simplify right side
    269,946x = 175,617,150,489
  5. Step 5: Solve for x
    x = 175,617,150,489/269,946
  6. Step 6: Final answer
    x = 650,564.00

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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.