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Finding the Third Proportional to 331,105.50 and 440,343

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Solution

The third proportional to 331,105.50 and 440,343 is: 585,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,105.50 : 440,343 = 440,343 : x
  2. Step 2: Convert to fraction form
    331,105.50/440,343 = 440,343/x
  3. Step 3: Cross multiply
    331,105.50x = 440,343 × 440,343
  4. Step 4: Simplify right side
    331,105.50x = 193,901,957,649
  5. Step 5: Solve for x
    x = 193,901,957,649/331,105.50
  6. Step 6: Final answer
    x = 585,619.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.