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Finding the Third Proportional to 361,467 and 769,350.38

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Solution

The third proportional to 361,467 and 769,350.38 is: 1,637,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,467 : 769,350.38 = 769,350.38 : x
  2. Step 2: Convert to fraction form
    361,467/769,350.38 = 769,350.38/x
  3. Step 3: Cross multiply
    361,467x = 769,350.38 × 769,350.38
  4. Step 4: Simplify right side
    361,467x = 591,899,999,512.64
  5. Step 5: Solve for x
    x = 591,899,999,512.64/361,467
  6. Step 6: Final answer
    x = 1,637,493.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.