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Finding the Third Proportional to 394,860 and 852,767

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Solution

The third proportional to 394,860 and 852,767 is: 1,841,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,860 : 852,767 = 852,767 : x
  2. Step 2: Convert to fraction form
    394,860/852,767 = 852,767/x
  3. Step 3: Cross multiply
    394,860x = 852,767 × 852,767
  4. Step 4: Simplify right side
    394,860x = 727,211,556,289
  5. Step 5: Solve for x
    x = 727,211,556,289/394,860
  6. Step 6: Final answer
    x = 1,841,694.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.