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Finding the Third Proportional to 233,464.78 and 327,871.55

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Solution

The third proportional to 233,464.78 and 327,871.55 is: 460,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,464.78 : 327,871.55 = 327,871.55 : x
  2. Step 2: Convert to fraction form
    233,464.78/327,871.55 = 327,871.55/x
  3. Step 3: Cross multiply
    233,464.78x = 327,871.55 × 327,871.55
  4. Step 4: Simplify right side
    233,464.78x = 107,499,751,250.21
  5. Step 5: Solve for x
    x = 107,499,751,250.21/233,464.78
  6. Step 6: Final answer
    x = 460,453.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.