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Finding the Third Proportional to 327,324 and 444,327

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Solution

The third proportional to 327,324 and 444,327 is: 603,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,324 : 444,327 = 444,327 : x
  2. Step 2: Convert to fraction form
    327,324/444,327 = 444,327/x
  3. Step 3: Cross multiply
    327,324x = 444,327 × 444,327
  4. Step 4: Simplify right side
    327,324x = 197,426,482,929
  5. Step 5: Solve for x
    x = 197,426,482,929/327,324
  6. Step 6: Final answer
    x = 603,153.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.