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Finding the Third Proportional to 311,908 and 670,406

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Solution

The third proportional to 311,908 and 670,406 is: 1,440,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908 : 670,406 = 670,406 : x
  2. Step 2: Convert to fraction form
    311,908/670,406 = 670,406/x
  3. Step 3: Cross multiply
    311,908x = 670,406 × 670,406
  4. Step 4: Simplify right side
    311,908x = 449,444,204,836
  5. Step 5: Solve for x
    x = 449,444,204,836/311,908
  6. Step 6: Final answer
    x = 1,440,951.19

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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.