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Finding the Third Proportional to 215,823 and 440,217

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Solution

The third proportional to 215,823 and 440,217 is: 897,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,823 : 440,217 = 440,217 : x
  2. Step 2: Convert to fraction form
    215,823/440,217 = 440,217/x
  3. Step 3: Cross multiply
    215,823x = 440,217 × 440,217
  4. Step 4: Simplify right side
    215,823x = 193,791,007,089
  5. Step 5: Solve for x
    x = 193,791,007,089/215,823
  6. Step 6: Final answer
    x = 897,916.38

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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.