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Finding the Third Proportional to 269,816 and 395,976

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Solution

The third proportional to 269,816 and 395,976 is: 581,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,816 : 395,976 = 395,976 : x
  2. Step 2: Convert to fraction form
    269,816/395,976 = 395,976/x
  3. Step 3: Cross multiply
    269,816x = 395,976 × 395,976
  4. Step 4: Simplify right side
    269,816x = 156,796,992,576
  5. Step 5: Solve for x
    x = 156,796,992,576/269,816
  6. Step 6: Final answer
    x = 581,125.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.