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Finding the Third Proportional to 205,549.50 and 457,811.25

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Solution

The third proportional to 205,549.50 and 457,811.25 is: 1,019,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,549.50 : 457,811.25 = 457,811.25 : x
  2. Step 2: Convert to fraction form
    205,549.50/457,811.25 = 457,811.25/x
  3. Step 3: Cross multiply
    205,549.50x = 457,811.25 × 457,811.25
  4. Step 4: Simplify right side
    205,549.50x = 209,591,140,626.56
  5. Step 5: Solve for x
    x = 209,591,140,626.56/205,549.50
  6. Step 6: Final answer
    x = 1,019,662.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.