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Finding the Third Proportional to 342,001 and 513,183

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Solution

The third proportional to 342,001 and 513,183 is: 770,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001 : 513,183 = 513,183 : x
  2. Step 2: Convert to fraction form
    342,001/513,183 = 513,183/x
  3. Step 3: Cross multiply
    342,001x = 513,183 × 513,183
  4. Step 4: Simplify right side
    342,001x = 263,356,791,489
  5. Step 5: Solve for x
    x = 263,356,791,489/342,001
  6. Step 6: Final answer
    x = 770,046.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.