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Finding the Third Proportional to 207,330 and 427,744

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Solution

The third proportional to 207,330 and 427,744 is: 882,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,330 : 427,744 = 427,744 : x
  2. Step 2: Convert to fraction form
    207,330/427,744 = 427,744/x
  3. Step 3: Cross multiply
    207,330x = 427,744 × 427,744
  4. Step 4: Simplify right side
    207,330x = 182,964,929,536
  5. Step 5: Solve for x
    x = 182,964,929,536/207,330
  6. Step 6: Final answer
    x = 882,481.69

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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.