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Finding the Third Proportional to 206,048 and 434,606

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Solution

The third proportional to 206,048 and 434,606 is: 916,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,048 : 434,606 = 434,606 : x
  2. Step 2: Convert to fraction form
    206,048/434,606 = 434,606/x
  3. Step 3: Cross multiply
    206,048x = 434,606 × 434,606
  4. Step 4: Simplify right side
    206,048x = 188,882,375,236
  5. Step 5: Solve for x
    x = 188,882,375,236/206,048
  6. Step 6: Final answer
    x = 916,691.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.