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Finding the Third Proportional to 311,905.69 and 670,401.56

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Solution

The third proportional to 311,905.69 and 670,401.56 is: 1,440,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,905.69 : 670,401.56 = 670,401.56 : x
  2. Step 2: Convert to fraction form
    311,905.69/670,401.56 = 670,401.56/x
  3. Step 3: Cross multiply
    311,905.69x = 670,401.56 × 670,401.56
  4. Step 4: Simplify right side
    311,905.69x = 449,438,255,002.44
  5. Step 5: Solve for x
    x = 449,438,255,002.44/311,905.69
  6. Step 6: Final answer
    x = 1,440,942.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.