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Finding the Third Proportional to 325,067.34 and 431,327.53

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Solution

The third proportional to 325,067.34 and 431,327.53 is: 572,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,067.34 : 431,327.53 = 431,327.53 : x
  2. Step 2: Convert to fraction form
    325,067.34/431,327.53 = 431,327.53/x
  3. Step 3: Cross multiply
    325,067.34x = 431,327.53 × 431,327.53
  4. Step 4: Simplify right side
    325,067.34x = 186,043,439,214.22
  5. Step 5: Solve for x
    x = 186,043,439,214.22/325,067.34
  6. Step 6: Final answer
    x = 572,322.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.