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Finding the Third Proportional to 548,757.75 and 819,005.25

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Solution

The third proportional to 548,757.75 and 819,005.25 is: 1,222,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,757.75 : 819,005.25 = 819,005.25 : x
  2. Step 2: Convert to fraction form
    548,757.75/819,005.25 = 819,005.25/x
  3. Step 3: Cross multiply
    548,757.75x = 819,005.25 × 819,005.25
  4. Step 4: Simplify right side
    548,757.75x = 670,769,599,527.56
  5. Step 5: Solve for x
    x = 670,769,599,527.56/548,757.75
  6. Step 6: Final answer
    x = 1,222,341.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.