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Finding the Third Proportional to 327,260 and 441,960

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Solution

The third proportional to 327,260 and 441,960 is: 596,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,260 : 441,960 = 441,960 : x
  2. Step 2: Convert to fraction form
    327,260/441,960 = 441,960/x
  3. Step 3: Cross multiply
    327,260x = 441,960 × 441,960
  4. Step 4: Simplify right side
    327,260x = 195,328,641,600
  5. Step 5: Solve for x
    x = 195,328,641,600/327,260
  6. Step 6: Final answer
    x = 596,860.73

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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.