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Finding the Third Proportional to 207,295 and 427,676

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Solution

The third proportional to 207,295 and 427,676 is: 882,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,295 : 427,676 = 427,676 : x
  2. Step 2: Convert to fraction form
    207,295/427,676 = 427,676/x
  3. Step 3: Cross multiply
    207,295x = 427,676 × 427,676
  4. Step 4: Simplify right side
    207,295x = 182,906,760,976
  5. Step 5: Solve for x
    x = 182,906,760,976/207,295
  6. Step 6: Final answer
    x = 882,350.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.