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Finding the Third Proportional to 395,841 and 613,179

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Solution

The third proportional to 395,841 and 613,179 is: 949,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,841 : 613,179 = 613,179 : x
  2. Step 2: Convert to fraction form
    395,841/613,179 = 613,179/x
  3. Step 3: Cross multiply
    395,841x = 613,179 × 613,179
  4. Step 4: Simplify right side
    395,841x = 375,988,486,041
  5. Step 5: Solve for x
    x = 375,988,486,041/395,841
  6. Step 6: Final answer
    x = 949,847.25

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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.