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Finding the Third Proportional to 332,578.41 and 729,535.78

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Solution

The third proportional to 332,578.41 and 729,535.78 is: 1,600,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,578.41 : 729,535.78 = 729,535.78 : x
  2. Step 2: Convert to fraction form
    332,578.41/729,535.78 = 729,535.78/x
  3. Step 3: Cross multiply
    332,578.41x = 729,535.78 × 729,535.78
  4. Step 4: Simplify right side
    332,578.41x = 532,222,456,124.05
  5. Step 5: Solve for x
    x = 532,222,456,124.05/332,578.41
  6. Step 6: Final answer
    x = 1,600,291.68

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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.