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Finding the Third Proportional to 496,867.50 and 770,793.75

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Solution

The third proportional to 496,867.50 and 770,793.75 is: 1,195,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,867.50 : 770,793.75 = 770,793.75 : x
  2. Step 2: Convert to fraction form
    496,867.50/770,793.75 = 770,793.75/x
  3. Step 3: Cross multiply
    496,867.50x = 770,793.75 × 770,793.75
  4. Step 4: Simplify right side
    496,867.50x = 594,123,005,039.06
  5. Step 5: Solve for x
    x = 594,123,005,039.06/496,867.50
  6. Step 6: Final answer
    x = 1,195,737.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.