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Finding the Third Proportional to 300,849 and 660,737.25

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Solution

The third proportional to 300,849 and 660,737.25 is: 1,451,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,849 : 660,737.25 = 660,737.25 : x
  2. Step 2: Convert to fraction form
    300,849/660,737.25 = 660,737.25/x
  3. Step 3: Cross multiply
    300,849x = 660,737.25 × 660,737.25
  4. Step 4: Simplify right side
    300,849x = 436,573,713,537.56
  5. Step 5: Solve for x
    x = 436,573,713,537.56/300,849
  6. Step 6: Final answer
    x = 1,451,138.99

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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.