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Finding the Third Proportional to 327,274 and 441,979

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Solution

The third proportional to 327,274 and 441,979 is: 596,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,274 : 441,979 = 441,979 : x
  2. Step 2: Convert to fraction form
    327,274/441,979 = 441,979/x
  3. Step 3: Cross multiply
    327,274x = 441,979 × 441,979
  4. Step 4: Simplify right side
    327,274x = 195,345,436,441
  5. Step 5: Solve for x
    x = 195,345,436,441/327,274
  6. Step 6: Final answer
    x = 596,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.