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Finding the Third Proportional to 267,642.50 and 394,071

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Solution

The third proportional to 267,642.50 and 394,071 is: 580,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642.50 : 394,071 = 394,071 : x
  2. Step 2: Convert to fraction form
    267,642.50/394,071 = 394,071/x
  3. Step 3: Cross multiply
    267,642.50x = 394,071 × 394,071
  4. Step 4: Simplify right side
    267,642.50x = 155,291,953,041
  5. Step 5: Solve for x
    x = 155,291,953,041/267,642.50
  6. Step 6: Final answer
    x = 580,221.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.