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Finding the Third Proportional to 300,858 and 660,756

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Solution

The third proportional to 300,858 and 660,756 is: 1,451,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,858 : 660,756 = 660,756 : x
  2. Step 2: Convert to fraction form
    300,858/660,756 = 660,756/x
  3. Step 3: Cross multiply
    300,858x = 660,756 × 660,756
  4. Step 4: Simplify right side
    300,858x = 436,598,491,536
  5. Step 5: Solve for x
    x = 436,598,491,536/300,858
  6. Step 6: Final answer
    x = 1,451,177.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.