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Finding the Third Proportional to 300,891 and 660,822

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Solution

The third proportional to 300,891 and 660,822 is: 1,451,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,891 : 660,822 = 660,822 : x
  2. Step 2: Convert to fraction form
    300,891/660,822 = 660,822/x
  3. Step 3: Cross multiply
    300,891x = 660,822 × 660,822
  4. Step 4: Simplify right side
    300,891x = 436,685,715,684
  5. Step 5: Solve for x
    x = 436,685,715,684/300,891
  6. Step 6: Final answer
    x = 1,451,308.67

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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.