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Finding the Third Proportional to 311,067 and 481,180.50

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Solution

The third proportional to 311,067 and 481,180.50 is: 744,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,067 : 481,180.50 = 481,180.50 : x
  2. Step 2: Convert to fraction form
    311,067/481,180.50 = 481,180.50/x
  3. Step 3: Cross multiply
    311,067x = 481,180.50 × 481,180.50
  4. Step 4: Simplify right side
    311,067x = 231,534,673,580.25
  5. Step 5: Solve for x
    x = 231,534,673,580.25/311,067
  6. Step 6: Final answer
    x = 744,324.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.