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Finding the Third Proportional to 215,822 and 440,212

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Solution

The third proportional to 215,822 and 440,212 is: 897,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,822 : 440,212 = 440,212 : x
  2. Step 2: Convert to fraction form
    215,822/440,212 = 440,212/x
  3. Step 3: Cross multiply
    215,822x = 440,212 × 440,212
  4. Step 4: Simplify right side
    215,822x = 193,786,604,944
  5. Step 5: Solve for x
    x = 193,786,604,944/215,822
  6. Step 6: Final answer
    x = 897,900.14

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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.