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Finding the Third Proportional to 363,769.50 and 550,686.75

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Solution

The third proportional to 363,769.50 and 550,686.75 is: 833,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,769.50 : 550,686.75 = 550,686.75 : x
  2. Step 2: Convert to fraction form
    363,769.50/550,686.75 = 550,686.75/x
  3. Step 3: Cross multiply
    363,769.50x = 550,686.75 × 550,686.75
  4. Step 4: Simplify right side
    363,769.50x = 303,255,896,625.56
  5. Step 5: Solve for x
    x = 303,255,896,625.56/363,769.50
  6. Step 6: Final answer
    x = 833,648.50

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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.