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Finding the Third Proportional to 267,575.91 and 409,839.75

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Solution

The third proportional to 267,575.91 and 409,839.75 is: 627,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,575.91 : 409,839.75 = 409,839.75 : x
  2. Step 2: Convert to fraction form
    267,575.91/409,839.75 = 409,839.75/x
  3. Step 3: Cross multiply
    267,575.91x = 409,839.75 × 409,839.75
  4. Step 4: Simplify right side
    267,575.91x = 167,968,620,680.06
  5. Step 5: Solve for x
    x = 167,968,620,680.06/267,575.91
  6. Step 6: Final answer
    x = 627,741.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.