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Finding the Third Proportional to 493,393.50 and 1,062,919.50

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Solution

The third proportional to 493,393.50 and 1,062,919.50 is: 2,289,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,393.50 : 1,062,919.50 = 1,062,919.50 : x
  2. Step 2: Convert to fraction form
    493,393.50/1,062,919.50 = 1,062,919.50/x
  3. Step 3: Cross multiply
    493,393.50x = 1,062,919.50 × 1,062,919.50
  4. Step 4: Simplify right side
    493,393.50x = 1,129,797,863,480.25
  5. Step 5: Solve for x
    x = 1,129,797,863,480.25/493,393.50
  6. Step 6: Final answer
    x = 2,289,851.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.