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Finding the Third Proportional to 266,533.50 and 629,193

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Solution

The third proportional to 266,533.50 and 629,193 is: 1,485,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,533.50 : 629,193 = 629,193 : x
  2. Step 2: Convert to fraction form
    266,533.50/629,193 = 629,193/x
  3. Step 3: Cross multiply
    266,533.50x = 629,193 × 629,193
  4. Step 4: Simplify right side
    266,533.50x = 395,883,831,249
  5. Step 5: Solve for x
    x = 395,883,831,249/266,533.50
  6. Step 6: Final answer
    x = 1,485,306.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.