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Finding the Third Proportional to 395,696 and 613,623

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Solution

The third proportional to 395,696 and 613,623 is: 951,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,696 : 613,623 = 613,623 : x
  2. Step 2: Convert to fraction form
    395,696/613,623 = 613,623/x
  3. Step 3: Cross multiply
    395,696x = 613,623 × 613,623
  4. Step 4: Simplify right side
    395,696x = 376,533,186,129
  5. Step 5: Solve for x
    x = 376,533,186,129/395,696
  6. Step 6: Final answer
    x = 951,571.88

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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.