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Finding the Third Proportional to 300,293 and 659,647

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Solution

The third proportional to 300,293 and 659,647 is: 1,449,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,293 : 659,647 = 659,647 : x
  2. Step 2: Convert to fraction form
    300,293/659,647 = 659,647/x
  3. Step 3: Cross multiply
    300,293x = 659,647 × 659,647
  4. Step 4: Simplify right side
    300,293x = 435,134,164,609
  5. Step 5: Solve for x
    x = 435,134,164,609/300,293
  6. Step 6: Final answer
    x = 1,449,031.99

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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.