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Finding the Third Proportional to 403.31 and 611.72

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Solution

The third proportional to 403.31 and 611.72 is: 927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.31 : 611.72 = 611.72 : x
  2. Step 2: Convert to fraction form
    403.31/611.72 = 611.72/x
  3. Step 3: Cross multiply
    403.31x = 611.72 × 611.72
  4. Step 4: Simplify right side
    403.31x = 374,199.83
  5. Step 5: Solve for x
    x = 374,199.83/403.31
  6. Step 6: Final answer
    x = 927.82

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