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Finding the Third Proportional to 203,810 and 416,692

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Solution

The third proportional to 203,810 and 416,692 is: 851,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,810 : 416,692 = 416,692 : x
  2. Step 2: Convert to fraction form
    203,810/416,692 = 416,692/x
  3. Step 3: Cross multiply
    203,810x = 416,692 × 416,692
  4. Step 4: Simplify right side
    203,810x = 173,632,222,864
  5. Step 5: Solve for x
    x = 173,632,222,864/203,810
  6. Step 6: Final answer
    x = 851,931.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.