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Finding the Third Proportional to 207,467 and 320,414

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Solution

The third proportional to 207,467 and 320,414 is: 494,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,467 : 320,414 = 320,414 : x
  2. Step 2: Convert to fraction form
    207,467/320,414 = 320,414/x
  3. Step 3: Cross multiply
    207,467x = 320,414 × 320,414
  4. Step 4: Simplify right side
    207,467x = 102,665,131,396
  5. Step 5: Solve for x
    x = 102,665,131,396/207,467
  6. Step 6: Final answer
    x = 494,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.