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Finding the Third Proportional to 300,861 and 660,766.50

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Solution

The third proportional to 300,861 and 660,766.50 is: 1,451,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,861 : 660,766.50 = 660,766.50 : x
  2. Step 2: Convert to fraction form
    300,861/660,766.50 = 660,766.50/x
  3. Step 3: Cross multiply
    300,861x = 660,766.50 × 660,766.50
  4. Step 4: Simplify right side
    300,861x = 436,612,367,522.25
  5. Step 5: Solve for x
    x = 436,612,367,522.25/300,861
  6. Step 6: Final answer
    x = 1,451,209.59

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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.