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Finding the Third Proportional to 263,987 and 395,989.25

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Solution

The third proportional to 263,987 and 395,989.25 is: 593,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,987 : 395,989.25 = 395,989.25 : x
  2. Step 2: Convert to fraction form
    263,987/395,989.25 = 395,989.25/x
  3. Step 3: Cross multiply
    263,987x = 395,989.25 × 395,989.25
  4. Step 4: Simplify right side
    263,987x = 156,807,486,115.56
  5. Step 5: Solve for x
    x = 156,807,486,115.56/263,987
  6. Step 6: Final answer
    x = 593,997.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.