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Finding the Third Proportional to 215,856 and 440,274

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Solution

The third proportional to 215,856 and 440,274 is: 898,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,856 : 440,274 = 440,274 : x
  2. Step 2: Convert to fraction form
    215,856/440,274 = 440,274/x
  3. Step 3: Cross multiply
    215,856x = 440,274 × 440,274
  4. Step 4: Simplify right side
    215,856x = 193,841,195,076
  5. Step 5: Solve for x
    x = 193,841,195,076/215,856
  6. Step 6: Final answer
    x = 898,011.61

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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.