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Finding the Third Proportional to 311,734.50 and 672,144

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Solution

The third proportional to 311,734.50 and 672,144 is: 1,449,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,734.50 : 672,144 = 672,144 : x
  2. Step 2: Convert to fraction form
    311,734.50/672,144 = 672,144/x
  3. Step 3: Cross multiply
    311,734.50x = 672,144 × 672,144
  4. Step 4: Simplify right side
    311,734.50x = 451,777,556,736
  5. Step 5: Solve for x
    x = 451,777,556,736/311,734.50
  6. Step 6: Final answer
    x = 1,449,238.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.