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Finding the Third Proportional to 331,067.25 and 512,527.50

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Solution

The third proportional to 331,067.25 and 512,527.50 is: 793,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,067.25 : 512,527.50 = 512,527.50 : x
  2. Step 2: Convert to fraction form
    331,067.25/512,527.50 = 512,527.50/x
  3. Step 3: Cross multiply
    331,067.25x = 512,527.50 × 512,527.50
  4. Step 4: Simplify right side
    331,067.25x = 262,684,438,256.25
  5. Step 5: Solve for x
    x = 262,684,438,256.25/331,067.25
  6. Step 6: Final answer
    x = 793,447.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.