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Finding the Third Proportional to 322,170 and 494,433

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Solution

The third proportional to 322,170 and 494,433 is: 758,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,170 : 494,433 = 494,433 : x
  2. Step 2: Convert to fraction form
    322,170/494,433 = 494,433/x
  3. Step 3: Cross multiply
    322,170x = 494,433 × 494,433
  4. Step 4: Simplify right side
    322,170x = 244,463,991,489
  5. Step 5: Solve for x
    x = 244,463,991,489/322,170
  6. Step 6: Final answer
    x = 758,804.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.