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Finding the Third Proportional to 213,676 and 467,042

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Solution

The third proportional to 213,676 and 467,042 is: 1,020,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,676 : 467,042 = 467,042 : x
  2. Step 2: Convert to fraction form
    213,676/467,042 = 467,042/x
  3. Step 3: Cross multiply
    213,676x = 467,042 × 467,042
  4. Step 4: Simplify right side
    213,676x = 218,128,229,764
  5. Step 5: Solve for x
    x = 218,128,229,764/213,676
  6. Step 6: Final answer
    x = 1,020,836.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.