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Finding the Third Proportional to 300,344 and 533,912

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Solution

The third proportional to 300,344 and 533,912 is: 949,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,344 : 533,912 = 533,912 : x
  2. Step 2: Convert to fraction form
    300,344/533,912 = 533,912/x
  3. Step 3: Cross multiply
    300,344x = 533,912 × 533,912
  4. Step 4: Simplify right side
    300,344x = 285,062,023,744
  5. Step 5: Solve for x
    x = 285,062,023,744/300,344
  6. Step 6: Final answer
    x = 949,118.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.