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Finding the Third Proportional to 331,968.38 and 504,057.94

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Solution

The third proportional to 331,968.38 and 504,057.94 is: 765,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,968.38 : 504,057.94 = 504,057.94 : x
  2. Step 2: Convert to fraction form
    331,968.38/504,057.94 = 504,057.94/x
  3. Step 3: Cross multiply
    331,968.38x = 504,057.94 × 504,057.94
  4. Step 4: Simplify right side
    331,968.38x = 254,074,404,356.75
  5. Step 5: Solve for x
    x = 254,074,404,356.75/331,968.38
  6. Step 6: Final answer
    x = 765,357.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.