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Finding the Third Proportional to 395,124 and 853,425

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Solution

The third proportional to 395,124 and 853,425 is: 1,843,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,124 : 853,425 = 853,425 : x
  2. Step 2: Convert to fraction form
    395,124/853,425 = 853,425/x
  3. Step 3: Cross multiply
    395,124x = 853,425 × 853,425
  4. Step 4: Simplify right side
    395,124x = 728,334,230,625
  5. Step 5: Solve for x
    x = 728,334,230,625/395,124
  6. Step 6: Final answer
    x = 1,843,305.47

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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.