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Finding the Third Proportional to 332,538.75 and 729,408.38

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Solution

The third proportional to 332,538.75 and 729,408.38 is: 1,599,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,538.75 : 729,408.38 = 729,408.38 : x
  2. Step 2: Convert to fraction form
    332,538.75/729,408.38 = 729,408.38/x
  3. Step 3: Cross multiply
    332,538.75x = 729,408.38 × 729,408.38
  4. Step 4: Simplify right side
    332,538.75x = 532,036,577,520.14
  5. Step 5: Solve for x
    x = 532,036,577,520.14/332,538.75
  6. Step 6: Final answer
    x = 1,599,923.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.