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Finding the Third Proportional to 248,932 and 395,790

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Solution

The third proportional to 248,932 and 395,790 is: 629,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,932 : 395,790 = 395,790 : x
  2. Step 2: Convert to fraction form
    248,932/395,790 = 395,790/x
  3. Step 3: Cross multiply
    248,932x = 395,790 × 395,790
  4. Step 4: Simplify right side
    248,932x = 156,649,724,100
  5. Step 5: Solve for x
    x = 156,649,724,100/248,932
  6. Step 6: Final answer
    x = 629,287.21

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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.