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Finding the Third Proportional to 327,530 and 497,204

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Solution

The third proportional to 327,530 and 497,204 is: 754,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,530 : 497,204 = 497,204 : x
  2. Step 2: Convert to fraction form
    327,530/497,204 = 497,204/x
  3. Step 3: Cross multiply
    327,530x = 497,204 × 497,204
  4. Step 4: Simplify right side
    327,530x = 247,211,817,616
  5. Step 5: Solve for x
    x = 247,211,817,616/327,530
  6. Step 6: Final answer
    x = 754,776.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.