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Finding the Third Proportional to 395,843 and 613,182

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Solution

The third proportional to 395,843 and 613,182 is: 949,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,843 : 613,182 = 613,182 : x
  2. Step 2: Convert to fraction form
    395,843/613,182 = 613,182/x
  3. Step 3: Cross multiply
    395,843x = 613,182 × 613,182
  4. Step 4: Simplify right side
    395,843x = 375,992,165,124
  5. Step 5: Solve for x
    x = 375,992,165,124/395,843
  6. Step 6: Final answer
    x = 949,851.75

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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.