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Finding the Third Proportional to 203,886 and 441,371

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Solution

The third proportional to 203,886 and 441,371 is: 955,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,886 : 441,371 = 441,371 : x
  2. Step 2: Convert to fraction form
    203,886/441,371 = 441,371/x
  3. Step 3: Cross multiply
    203,886x = 441,371 × 441,371
  4. Step 4: Simplify right side
    203,886x = 194,808,359,641
  5. Step 5: Solve for x
    x = 194,808,359,641/203,886
  6. Step 6: Final answer
    x = 955,476.88

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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.