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Finding the Third Proportional to 269,923 and 590,694

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Solution

The third proportional to 269,923 and 590,694 is: 1,292,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,923 : 590,694 = 590,694 : x
  2. Step 2: Convert to fraction form
    269,923/590,694 = 590,694/x
  3. Step 3: Cross multiply
    269,923x = 590,694 × 590,694
  4. Step 4: Simplify right side
    269,923x = 348,919,401,636
  5. Step 5: Solve for x
    x = 348,919,401,636/269,923
  6. Step 6: Final answer
    x = 1,292,662.73

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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.