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Finding the Third Proportional to 206,844 and 446,696

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Solution

The third proportional to 206,844 and 446,696 is: 964,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844 : 446,696 = 446,696 : x
  2. Step 2: Convert to fraction form
    206,844/446,696 = 446,696/x
  3. Step 3: Cross multiply
    206,844x = 446,696 × 446,696
  4. Step 4: Simplify right side
    206,844x = 199,537,316,416
  5. Step 5: Solve for x
    x = 199,537,316,416/206,844
  6. Step 6: Final answer
    x = 964,675.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.