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Finding the Third Proportional to 199,406 and 433,802

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Solution

The third proportional to 199,406 and 433,802 is: 943,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406 : 433,802 = 433,802 : x
  2. Step 2: Convert to fraction form
    199,406/433,802 = 433,802/x
  3. Step 3: Cross multiply
    199,406x = 433,802 × 433,802
  4. Step 4: Simplify right side
    199,406x = 188,184,175,204
  5. Step 5: Solve for x
    x = 188,184,175,204/199,406
  6. Step 6: Final answer
    x = 943,723.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.