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Finding the Third Proportional to 393,244 and 591,812

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Solution

The third proportional to 393,244 and 591,812 is: 890,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,244 : 591,812 = 591,812 : x
  2. Step 2: Convert to fraction form
    393,244/591,812 = 591,812/x
  3. Step 3: Cross multiply
    393,244x = 591,812 × 591,812
  4. Step 4: Simplify right side
    393,244x = 350,241,443,344
  5. Step 5: Solve for x
    x = 350,241,443,344/393,244
  6. Step 6: Final answer
    x = 890,646.63

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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.