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Finding the Third Proportional to 269,449.88 and 374,644.41

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Solution

The third proportional to 269,449.88 and 374,644.41 is: 520,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,449.88 : 374,644.41 = 374,644.41 : x
  2. Step 2: Convert to fraction form
    269,449.88/374,644.41 = 374,644.41/x
  3. Step 3: Cross multiply
    269,449.88x = 374,644.41 × 374,644.41
  4. Step 4: Simplify right side
    269,449.88x = 140,358,431,134.42
  5. Step 5: Solve for x
    x = 140,358,431,134.42/269,449.88
  6. Step 6: Final answer
    x = 520,907.39

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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.