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Finding the Third Proportional to 386,532 and 591,327

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Solution

The third proportional to 386,532 and 591,327 is: 904,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,532 : 591,327 = 591,327 : x
  2. Step 2: Convert to fraction form
    386,532/591,327 = 591,327/x
  3. Step 3: Cross multiply
    386,532x = 591,327 × 591,327
  4. Step 4: Simplify right side
    386,532x = 349,667,620,929
  5. Step 5: Solve for x
    x = 349,667,620,929/386,532
  6. Step 6: Final answer
    x = 904,627.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.