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Finding the Third Proportional to 629,452 and 998,238

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Solution

The third proportional to 629,452 and 998,238 is: 1,583,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,452 : 998,238 = 998,238 : x
  2. Step 2: Convert to fraction form
    629,452/998,238 = 998,238/x
  3. Step 3: Cross multiply
    629,452x = 998,238 × 998,238
  4. Step 4: Simplify right side
    629,452x = 996,479,104,644
  5. Step 5: Solve for x
    x = 996,479,104,644/629,452
  6. Step 6: Final answer
    x = 1,583,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.