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Finding the Third Proportional to 367,902 and 494,406

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Solution

The third proportional to 367,902 and 494,406 is: 664,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,902 : 494,406 = 494,406 : x
  2. Step 2: Convert to fraction form
    367,902/494,406 = 494,406/x
  3. Step 3: Cross multiply
    367,902x = 494,406 × 494,406
  4. Step 4: Simplify right side
    367,902x = 244,437,292,836
  5. Step 5: Solve for x
    x = 244,437,292,836/367,902
  6. Step 6: Final answer
    x = 664,408.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.