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Finding the Third Proportional to 327,179.25 and 488,814.75

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Solution

The third proportional to 327,179.25 and 488,814.75 is: 730,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,179.25 : 488,814.75 = 488,814.75 : x
  2. Step 2: Convert to fraction form
    327,179.25/488,814.75 = 488,814.75/x
  3. Step 3: Cross multiply
    327,179.25x = 488,814.75 × 488,814.75
  4. Step 4: Simplify right side
    327,179.25x = 238,939,859,817.56
  5. Step 5: Solve for x
    x = 238,939,859,817.56/327,179.25
  6. Step 6: Final answer
    x = 730,302.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.