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Finding the Third Proportional to 199,406 and 437,571

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Solution

The third proportional to 199,406 and 437,571 is: 960,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406 : 437,571 = 437,571 : x
  2. Step 2: Convert to fraction form
    199,406/437,571 = 437,571/x
  3. Step 3: Cross multiply
    199,406x = 437,571 × 437,571
  4. Step 4: Simplify right side
    199,406x = 191,468,380,041
  5. Step 5: Solve for x
    x = 191,468,380,041/199,406
  6. Step 6: Final answer
    x = 960,193.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.