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Finding the Third Proportional to 361,667 and 541,326

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Solution

The third proportional to 361,667 and 541,326 is: 810,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,667 : 541,326 = 541,326 : x
  2. Step 2: Convert to fraction form
    361,667/541,326 = 541,326/x
  3. Step 3: Cross multiply
    361,667x = 541,326 × 541,326
  4. Step 4: Simplify right side
    361,667x = 293,033,838,276
  5. Step 5: Solve for x
    x = 293,033,838,276/361,667
  6. Step 6: Final answer
    x = 810,231.06

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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.