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Finding the Third Proportional to 381,640.50 and 606,174.75

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Solution

The third proportional to 381,640.50 and 606,174.75 is: 962,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,640.50 : 606,174.75 = 606,174.75 : x
  2. Step 2: Convert to fraction form
    381,640.50/606,174.75 = 606,174.75/x
  3. Step 3: Cross multiply
    381,640.50x = 606,174.75 × 606,174.75
  4. Step 4: Simplify right side
    381,640.50x = 367,447,827,537.56
  5. Step 5: Solve for x
    x = 367,447,827,537.56/381,640.50
  6. Step 6: Final answer
    x = 962,811.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.