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Finding the Third Proportional to 393,962 and 590,799

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Solution

The third proportional to 393,962 and 590,799 is: 885,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,962 : 590,799 = 590,799 : x
  2. Step 2: Convert to fraction form
    393,962/590,799 = 590,799/x
  3. Step 3: Cross multiply
    393,962x = 590,799 × 590,799
  4. Step 4: Simplify right side
    393,962x = 349,043,458,401
  5. Step 5: Solve for x
    x = 349,043,458,401/393,962
  6. Step 6: Final answer
    x = 885,982.55

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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.