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Finding the Third Proportional to 331,504.50 and 491,041

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Solution

The third proportional to 331,504.50 and 491,041 is: 727,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,504.50 : 491,041 = 491,041 : x
  2. Step 2: Convert to fraction form
    331,504.50/491,041 = 491,041/x
  3. Step 3: Cross multiply
    331,504.50x = 491,041 × 491,041
  4. Step 4: Simplify right side
    331,504.50x = 241,121,263,681
  5. Step 5: Solve for x
    x = 241,121,263,681/331,504.50
  6. Step 6: Final answer
    x = 727,354.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.