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Finding the Third Proportional to 269,436 and 374,629

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Solution

The third proportional to 269,436 and 374,629 is: 520,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,436 : 374,629 = 374,629 : x
  2. Step 2: Convert to fraction form
    269,436/374,629 = 374,629/x
  3. Step 3: Cross multiply
    269,436x = 374,629 × 374,629
  4. Step 4: Simplify right side
    269,436x = 140,346,887,641
  5. Step 5: Solve for x
    x = 140,346,887,641/269,436
  6. Step 6: Final answer
    x = 520,891.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.