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Finding the Third Proportional to 270,342 and 395,241

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Solution

The third proportional to 270,342 and 395,241 is: 577,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,342 : 395,241 = 395,241 : x
  2. Step 2: Convert to fraction form
    270,342/395,241 = 395,241/x
  3. Step 3: Cross multiply
    270,342x = 395,241 × 395,241
  4. Step 4: Simplify right side
    270,342x = 156,215,448,081
  5. Step 5: Solve for x
    x = 156,215,448,081/270,342
  6. Step 6: Final answer
    x = 577,843.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.