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Finding the Third Proportional to 248,936 and 395,796

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Solution

The third proportional to 248,936 and 395,796 is: 629,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,936 : 395,796 = 395,796 : x
  2. Step 2: Convert to fraction form
    248,936/395,796 = 395,796/x
  3. Step 3: Cross multiply
    248,936x = 395,796 × 395,796
  4. Step 4: Simplify right side
    248,936x = 156,654,473,616
  5. Step 5: Solve for x
    x = 156,654,473,616/248,936
  6. Step 6: Final answer
    x = 629,296.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.