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Finding the Third Proportional to 203,887 and 441,373

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Solution

The third proportional to 203,887 and 441,373 is: 955,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,887 : 441,373 = 441,373 : x
  2. Step 2: Convert to fraction form
    203,887/441,373 = 441,373/x
  3. Step 3: Cross multiply
    203,887x = 441,373 × 441,373
  4. Step 4: Simplify right side
    203,887x = 194,810,125,129
  5. Step 5: Solve for x
    x = 194,810,125,129/203,887
  6. Step 6: Final answer
    x = 955,480.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.