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Finding the Third Proportional to 203,871 and 441,343

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Solution

The third proportional to 203,871 and 441,343 is: 955,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871 : 441,343 = 441,343 : x
  2. Step 2: Convert to fraction form
    203,871/441,343 = 441,343/x
  3. Step 3: Cross multiply
    203,871x = 441,343 × 441,343
  4. Step 4: Simplify right side
    203,871x = 194,783,643,649
  5. Step 5: Solve for x
    x = 194,783,643,649/203,871
  6. Step 6: Final answer
    x = 955,425.95

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