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Finding the Third Proportional to 361,469 and 541,109

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Solution

The third proportional to 361,469 and 541,109 is: 810,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,469 : 541,109 = 541,109 : x
  2. Step 2: Convert to fraction form
    361,469/541,109 = 541,109/x
  3. Step 3: Cross multiply
    361,469x = 541,109 × 541,109
  4. Step 4: Simplify right side
    361,469x = 292,798,949,881
  5. Step 5: Solve for x
    x = 292,798,949,881/361,469
  6. Step 6: Final answer
    x = 810,025.06

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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.