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Finding the Third Proportional to 395,103 and 852,425

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Solution

The third proportional to 395,103 and 852,425 is: 1,839,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,103 : 852,425 = 852,425 : x
  2. Step 2: Convert to fraction form
    395,103/852,425 = 852,425/x
  3. Step 3: Cross multiply
    395,103x = 852,425 × 852,425
  4. Step 4: Simplify right side
    395,103x = 726,628,380,625
  5. Step 5: Solve for x
    x = 726,628,380,625/395,103
  6. Step 6: Final answer
    x = 1,839,085.96

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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.