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Finding the Third Proportional to 205,040.50 and 441,512.50

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Solution

The third proportional to 205,040.50 and 441,512.50 is: 950,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,040.50 : 441,512.50 = 441,512.50 : x
  2. Step 2: Convert to fraction form
    205,040.50/441,512.50 = 441,512.50/x
  3. Step 3: Cross multiply
    205,040.50x = 441,512.50 × 441,512.50
  4. Step 4: Simplify right side
    205,040.50x = 194,933,287,656.25
  5. Step 5: Solve for x
    x = 194,933,287,656.25/205,040.50
  6. Step 6: Final answer
    x = 950,706.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.