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Finding the Third Proportional to 259,893 and 388,782

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Solution

The third proportional to 259,893 and 388,782 is: 581,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,893 : 388,782 = 388,782 : x
  2. Step 2: Convert to fraction form
    259,893/388,782 = 388,782/x
  3. Step 3: Cross multiply
    259,893x = 388,782 × 388,782
  4. Step 4: Simplify right side
    259,893x = 151,151,443,524
  5. Step 5: Solve for x
    x = 151,151,443,524/259,893
  6. Step 6: Final answer
    x = 581,591.05

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