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Finding the Third Proportional to 327,408 and 492,327

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Solution

The third proportional to 327,408 and 492,327 is: 740,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,408 : 492,327 = 492,327 : x
  2. Step 2: Convert to fraction form
    327,408/492,327 = 492,327/x
  3. Step 3: Cross multiply
    327,408x = 492,327 × 492,327
  4. Step 4: Simplify right side
    327,408x = 242,385,874,929
  5. Step 5: Solve for x
    x = 242,385,874,929/327,408
  6. Step 6: Final answer
    x = 740,317.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.