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Finding the Third Proportional to 202,942 and 440,467

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Solution

The third proportional to 202,942 and 440,467 is: 955,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942 : 440,467 = 440,467 : x
  2. Step 2: Convert to fraction form
    202,942/440,467 = 440,467/x
  3. Step 3: Cross multiply
    202,942x = 440,467 × 440,467
  4. Step 4: Simplify right side
    202,942x = 194,011,178,089
  5. Step 5: Solve for x
    x = 194,011,178,089/202,942
  6. Step 6: Final answer
    x = 955,993.23

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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.