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Finding the Third Proportional to 329,295.38 and 496,536.75

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Solution

The third proportional to 329,295.38 and 496,536.75 is: 748,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,295.38 : 496,536.75 = 496,536.75 : x
  2. Step 2: Convert to fraction form
    329,295.38/496,536.75 = 496,536.75/x
  3. Step 3: Cross multiply
    329,295.38x = 496,536.75 × 496,536.75
  4. Step 4: Simplify right side
    329,295.38x = 246,548,744,100.56
  5. Step 5: Solve for x
    x = 246,548,744,100.56/329,295.38
  6. Step 6: Final answer
    x = 748,716.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.