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Finding the Third Proportional to 265,951.69 and 397,988.44

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Solution

The third proportional to 265,951.69 and 397,988.44 is: 595,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,951.69 : 397,988.44 = 397,988.44 : x
  2. Step 2: Convert to fraction form
    265,951.69/397,988.44 = 397,988.44/x
  3. Step 3: Cross multiply
    265,951.69x = 397,988.44 × 397,988.44
  4. Step 4: Simplify right side
    265,951.69x = 158,394,796,383.69
  5. Step 5: Solve for x
    x = 158,394,796,383.69/265,951.69
  6. Step 6: Final answer
    x = 595,577.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.