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Finding the Third Proportional to 203,984 and 441,856

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Solution

The third proportional to 203,984 and 441,856 is: 957,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,984 : 441,856 = 441,856 : x
  2. Step 2: Convert to fraction form
    203,984/441,856 = 441,856/x
  3. Step 3: Cross multiply
    203,984x = 441,856 × 441,856
  4. Step 4: Simplify right side
    203,984x = 195,236,724,736
  5. Step 5: Solve for x
    x = 195,236,724,736/203,984
  6. Step 6: Final answer
    x = 957,117.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.