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Finding the Third Proportional to 451,515.75 and 699,879.75

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Solution

The third proportional to 451,515.75 and 699,879.75 is: 1,084,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,515.75 : 699,879.75 = 699,879.75 : x
  2. Step 2: Convert to fraction form
    451,515.75/699,879.75 = 699,879.75/x
  3. Step 3: Cross multiply
    451,515.75x = 699,879.75 × 699,879.75
  4. Step 4: Simplify right side
    451,515.75x = 489,831,664,460.06
  5. Step 5: Solve for x
    x = 489,831,664,460.06/451,515.75
  6. Step 6: Final answer
    x = 1,084,860.64

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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.