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Finding the Third Proportional to 395,245 and 591,782

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Solution

The third proportional to 395,245 and 591,782 is: 886,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,245 : 591,782 = 591,782 : x
  2. Step 2: Convert to fraction form
    395,245/591,782 = 591,782/x
  3. Step 3: Cross multiply
    395,245x = 591,782 × 591,782
  4. Step 4: Simplify right side
    395,245x = 350,205,935,524
  5. Step 5: Solve for x
    x = 350,205,935,524/395,245
  6. Step 6: Final answer
    x = 886,047.73

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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.