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Finding the Third Proportional to 300,864 and 660,779.25

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Solution

The third proportional to 300,864 and 660,779.25 is: 1,451,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,864 : 660,779.25 = 660,779.25 : x
  2. Step 2: Convert to fraction form
    300,864/660,779.25 = 660,779.25/x
  3. Step 3: Cross multiply
    300,864x = 660,779.25 × 660,779.25
  4. Step 4: Simplify right side
    300,864x = 436,629,217,230.56
  5. Step 5: Solve for x
    x = 436,629,217,230.56/300,864
  6. Step 6: Final answer
    x = 1,451,251.12

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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.