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Finding the Third Proportional to 271,867.50 and 414,960.75

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Solution

The third proportional to 271,867.50 and 414,960.75 is: 633,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,867.50 : 414,960.75 = 414,960.75 : x
  2. Step 2: Convert to fraction form
    271,867.50/414,960.75 = 414,960.75/x
  3. Step 3: Cross multiply
    271,867.50x = 414,960.75 × 414,960.75
  4. Step 4: Simplify right side
    271,867.50x = 172,192,424,040.56
  5. Step 5: Solve for x
    x = 172,192,424,040.56/271,867.50
  6. Step 6: Final answer
    x = 633,368.92

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Why These Related Problems?

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