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Finding the Third Proportional to 206,684 and 442,892

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Solution

The third proportional to 206,684 and 442,892 is: 949,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684 : 442,892 = 442,892 : x
  2. Step 2: Convert to fraction form
    206,684/442,892 = 442,892/x
  3. Step 3: Cross multiply
    206,684x = 442,892 × 442,892
  4. Step 4: Simplify right side
    206,684x = 196,153,323,664
  5. Step 5: Solve for x
    x = 196,153,323,664/206,684
  6. Step 6: Final answer
    x = 949,049.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.