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Finding the Third Proportional to 150,493 and 313,441

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Solution

The third proportional to 150,493 and 313,441 is: 652,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493 : 313,441 = 313,441 : x
  2. Step 2: Convert to fraction form
    150,493/313,441 = 313,441/x
  3. Step 3: Cross multiply
    150,493x = 313,441 × 313,441
  4. Step 4: Simplify right side
    150,493x = 98,245,260,481
  5. Step 5: Solve for x
    x = 98,245,260,481/150,493
  6. Step 6: Final answer
    x = 652,822.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.