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Finding the Third Proportional to 311,966 and 344,770

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Solution

The third proportional to 311,966 and 344,770 is: 381,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,966 : 344,770 = 344,770 : x
  2. Step 2: Convert to fraction form
    311,966/344,770 = 344,770/x
  3. Step 3: Cross multiply
    311,966x = 344,770 × 344,770
  4. Step 4: Simplify right side
    311,966x = 118,866,352,900
  5. Step 5: Solve for x
    x = 118,866,352,900/311,966
  6. Step 6: Final answer
    x = 381,023.42

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.