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Finding the Third Proportional to 199,414 and 433,819

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Solution

The third proportional to 199,414 and 433,819 is: 943,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,414 : 433,819 = 433,819 : x
  2. Step 2: Convert to fraction form
    199,414/433,819 = 433,819/x
  3. Step 3: Cross multiply
    199,414x = 433,819 × 433,819
  4. Step 4: Simplify right side
    199,414x = 188,198,924,761
  5. Step 5: Solve for x
    x = 188,198,924,761/199,414
  6. Step 6: Final answer
    x = 943,759.84

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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.