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Finding the Third Proportional to 393,924 and 835,112

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Solution

The third proportional to 393,924 and 835,112 is: 1,770,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,924 : 835,112 = 835,112 : x
  2. Step 2: Convert to fraction form
    393,924/835,112 = 835,112/x
  3. Step 3: Cross multiply
    393,924x = 835,112 × 835,112
  4. Step 4: Simplify right side
    393,924x = 697,412,052,544
  5. Step 5: Solve for x
    x = 697,412,052,544/393,924
  6. Step 6: Final answer
    x = 1,770,422.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.