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Finding the Third Proportional to 311,910.75 and 446,046.75

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Solution

The third proportional to 311,910.75 and 446,046.75 is: 637,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,910.75 : 446,046.75 = 446,046.75 : x
  2. Step 2: Convert to fraction form
    311,910.75/446,046.75 = 446,046.75/x
  3. Step 3: Cross multiply
    311,910.75x = 446,046.75 × 446,046.75
  4. Step 4: Simplify right side
    311,910.75x = 198,957,703,185.56
  5. Step 5: Solve for x
    x = 198,957,703,185.56/311,910.75
  6. Step 6: Final answer
    x = 637,867.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.