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Finding the Third Proportional to 267,711.75 and 414,528.75

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Solution

The third proportional to 267,711.75 and 414,528.75 is: 641,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,711.75 : 414,528.75 = 414,528.75 : x
  2. Step 2: Convert to fraction form
    267,711.75/414,528.75 = 414,528.75/x
  3. Step 3: Cross multiply
    267,711.75x = 414,528.75 × 414,528.75
  4. Step 4: Simplify right side
    267,711.75x = 171,834,084,576.56
  5. Step 5: Solve for x
    x = 171,834,084,576.56/267,711.75
  6. Step 6: Final answer
    x = 641,862.32

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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.