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Finding the Third Proportional to 267,954 and 414,713.25

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Solution

The third proportional to 267,954 and 414,713.25 is: 641,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,954 : 414,713.25 = 414,713.25 : x
  2. Step 2: Convert to fraction form
    267,954/414,713.25 = 414,713.25/x
  3. Step 3: Cross multiply
    267,954x = 414,713.25 × 414,713.25
  4. Step 4: Simplify right side
    267,954x = 171,987,079,725.56
  5. Step 5: Solve for x
    x = 171,987,079,725.56/267,954
  6. Step 6: Final answer
    x = 641,853.00

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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.