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Finding the Third Proportional to 300,668 and 647,848

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Solution

The third proportional to 300,668 and 647,848 is: 1,395,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,668 : 647,848 = 647,848 : x
  2. Step 2: Convert to fraction form
    300,668/647,848 = 647,848/x
  3. Step 3: Cross multiply
    300,668x = 647,848 × 647,848
  4. Step 4: Simplify right side
    300,668x = 419,707,031,104
  5. Step 5: Solve for x
    x = 419,707,031,104/300,668
  6. Step 6: Final answer
    x = 1,395,915.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.