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Finding the Third Proportional to 200,731 and 440,823

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Solution

The third proportional to 200,731 and 440,823 is: 968,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731 : 440,823 = 440,823 : x
  2. Step 2: Convert to fraction form
    200,731/440,823 = 440,823/x
  3. Step 3: Cross multiply
    200,731x = 440,823 × 440,823
  4. Step 4: Simplify right side
    200,731x = 194,324,917,329
  5. Step 5: Solve for x
    x = 194,324,917,329/200,731
  6. Step 6: Final answer
    x = 968,086.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.