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Finding the Third Proportional to 300,235 and 659,519

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Solution

The third proportional to 300,235 and 659,519 is: 1,448,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,235 : 659,519 = 659,519 : x
  2. Step 2: Convert to fraction form
    300,235/659,519 = 659,519/x
  3. Step 3: Cross multiply
    300,235x = 659,519 × 659,519
  4. Step 4: Simplify right side
    300,235x = 434,965,311,361
  5. Step 5: Solve for x
    x = 434,965,311,361/300,235
  6. Step 6: Final answer
    x = 1,448,749.52

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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.