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Finding the Third Proportional to 327,860 and 442,935

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Solution

The third proportional to 327,860 and 442,935 is: 598,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,860 : 442,935 = 442,935 : x
  2. Step 2: Convert to fraction form
    327,860/442,935 = 442,935/x
  3. Step 3: Cross multiply
    327,860x = 442,935 × 442,935
  4. Step 4: Simplify right side
    327,860x = 196,191,414,225
  5. Step 5: Solve for x
    x = 196,191,414,225/327,860
  6. Step 6: Final answer
    x = 598,399.97

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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.