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Finding the Third Proportional to 269,966 and 419,098

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Solution

The third proportional to 269,966 and 419,098 is: 650,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,966 : 419,098 = 419,098 : x
  2. Step 2: Convert to fraction form
    269,966/419,098 = 419,098/x
  3. Step 3: Cross multiply
    269,966x = 419,098 × 419,098
  4. Step 4: Simplify right side
    269,966x = 175,643,133,604
  5. Step 5: Solve for x
    x = 175,643,133,604/269,966
  6. Step 6: Final answer
    x = 650,612.05

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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.