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Finding the Third Proportional to 360,462.94 and 543,462.75

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Solution

The third proportional to 360,462.94 and 543,462.75 is: 819,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,462.94 : 543,462.75 = 543,462.75 : x
  2. Step 2: Convert to fraction form
    360,462.94/543,462.75 = 543,462.75/x
  3. Step 3: Cross multiply
    360,462.94x = 543,462.75 × 543,462.75
  4. Step 4: Simplify right side
    360,462.94x = 295,351,760,637.56
  5. Step 5: Solve for x
    x = 295,351,760,637.56/360,462.94
  6. Step 6: Final answer
    x = 819,367.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.