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Finding the Third Proportional to 230,034.09 and 471,542.34

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Solution

The third proportional to 230,034.09 and 471,542.34 is: 966,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,034.09 : 471,542.34 = 471,542.34 : x
  2. Step 2: Convert to fraction form
    230,034.09/471,542.34 = 471,542.34/x
  3. Step 3: Cross multiply
    230,034.09x = 471,542.34 × 471,542.34
  4. Step 4: Simplify right side
    230,034.09x = 222,352,181,949.24
  5. Step 5: Solve for x
    x = 222,352,181,949.24/230,034.09
  6. Step 6: Final answer
    x = 966,605.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.