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Finding the Third Proportional to 202,614 and 440,904

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Solution

The third proportional to 202,614 and 440,904 is: 959,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,614 : 440,904 = 440,904 : x
  2. Step 2: Convert to fraction form
    202,614/440,904 = 440,904/x
  3. Step 3: Cross multiply
    202,614x = 440,904 × 440,904
  4. Step 4: Simplify right side
    202,614x = 194,396,337,216
  5. Step 5: Solve for x
    x = 194,396,337,216/202,614
  6. Step 6: Final answer
    x = 959,441.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.