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Finding the Third Proportional to 267,546.75 and 414,091.88

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Solution

The third proportional to 267,546.75 and 414,091.88 is: 640,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546.75 : 414,091.88 = 414,091.88 : x
  2. Step 2: Convert to fraction form
    267,546.75/414,091.88 = 414,091.88/x
  3. Step 3: Cross multiply
    267,546.75x = 414,091.88 × 414,091.88
  4. Step 4: Simplify right side
    267,546.75x = 171,472,080,941.02
  5. Step 5: Solve for x
    x = 171,472,080,941.02/267,546.75
  6. Step 6: Final answer
    x = 640,905.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.