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Finding the Third Proportional to 204,035 and 437,593

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Solution

The third proportional to 204,035 and 437,593 is: 938,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,035 : 437,593 = 437,593 : x
  2. Step 2: Convert to fraction form
    204,035/437,593 = 437,593/x
  3. Step 3: Cross multiply
    204,035x = 437,593 × 437,593
  4. Step 4: Simplify right side
    204,035x = 191,487,633,649
  5. Step 5: Solve for x
    x = 191,487,633,649/204,035
  6. Step 6: Final answer
    x = 938,503.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.