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Finding the Third Proportional to 206,842 and 449,206

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Solution

The third proportional to 206,842 and 449,206 is: 975,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842 : 449,206 = 449,206 : x
  2. Step 2: Convert to fraction form
    206,842/449,206 = 449,206/x
  3. Step 3: Cross multiply
    206,842x = 449,206 × 449,206
  4. Step 4: Simplify right side
    206,842x = 201,786,030,436
  5. Step 5: Solve for x
    x = 201,786,030,436/206,842
  6. Step 6: Final answer
    x = 975,556.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.