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Finding the Third Proportional to 269,682 and 591,204

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Solution

The third proportional to 269,682 and 591,204 is: 1,296,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,682 : 591,204 = 591,204 : x
  2. Step 2: Convert to fraction form
    269,682/591,204 = 591,204/x
  3. Step 3: Cross multiply
    269,682x = 591,204 × 591,204
  4. Step 4: Simplify right side
    269,682x = 349,522,169,616
  5. Step 5: Solve for x
    x = 349,522,169,616/269,682
  6. Step 6: Final answer
    x = 1,296,053.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.