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Finding the Third Proportional to 267,944.25 and 414,700.88

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Solution

The third proportional to 267,944.25 and 414,700.88 is: 641,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,944.25 : 414,700.88 = 414,700.88 : x
  2. Step 2: Convert to fraction form
    267,944.25/414,700.88 = 414,700.88/x
  3. Step 3: Cross multiply
    267,944.25x = 414,700.88 × 414,700.88
  4. Step 4: Simplify right side
    267,944.25x = 171,976,815,725.77
  5. Step 5: Solve for x
    x = 171,976,815,725.77/267,944.25
  6. Step 6: Final answer
    x = 641,838.05

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Why These Related Problems?

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