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Finding the Third Proportional to 213,204 and 458,676

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Solution

The third proportional to 213,204 and 458,676 is: 986,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,204 : 458,676 = 458,676 : x
  2. Step 2: Convert to fraction form
    213,204/458,676 = 458,676/x
  3. Step 3: Cross multiply
    213,204x = 458,676 × 458,676
  4. Step 4: Simplify right side
    213,204x = 210,383,672,976
  5. Step 5: Solve for x
    x = 210,383,672,976/213,204
  6. Step 6: Final answer
    x = 986,771.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.