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Finding the Third Proportional to 327,858 and 494,085

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Solution

The third proportional to 327,858 and 494,085 is: 744,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,858 : 494,085 = 494,085 : x
  2. Step 2: Convert to fraction form
    327,858/494,085 = 494,085/x
  3. Step 3: Cross multiply
    327,858x = 494,085 × 494,085
  4. Step 4: Simplify right side
    327,858x = 244,119,987,225
  5. Step 5: Solve for x
    x = 244,119,987,225/327,858
  6. Step 6: Final answer
    x = 744,590.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.