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Finding the Third Proportional to 332,859.38 and 540,786.38

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Solution

The third proportional to 332,859.38 and 540,786.38 is: 878,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,859.38 : 540,786.38 = 540,786.38 : x
  2. Step 2: Convert to fraction form
    332,859.38/540,786.38 = 540,786.38/x
  3. Step 3: Cross multiply
    332,859.38x = 540,786.38 × 540,786.38
  4. Step 4: Simplify right side
    332,859.38x = 292,449,903,385.64
  5. Step 5: Solve for x
    x = 292,449,903,385.64/332,859.38
  6. Step 6: Final answer
    x = 878,598.97

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.