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Finding the Third Proportional to 395,698 and 613,625

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Solution

The third proportional to 395,698 and 613,625 is: 951,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,698 : 613,625 = 613,625 : x
  2. Step 2: Convert to fraction form
    395,698/613,625 = 613,625/x
  3. Step 3: Cross multiply
    395,698x = 613,625 × 613,625
  4. Step 4: Simplify right side
    395,698x = 376,535,640,625
  5. Step 5: Solve for x
    x = 376,535,640,625/395,698
  6. Step 6: Final answer
    x = 951,573.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.