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Finding the Third Proportional to 395,190 and 852,588

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Solution

The third proportional to 395,190 and 852,588 is: 1,839,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,190 : 852,588 = 852,588 : x
  2. Step 2: Convert to fraction form
    395,190/852,588 = 852,588/x
  3. Step 3: Cross multiply
    395,190x = 852,588 × 852,588
  4. Step 4: Simplify right side
    395,190x = 726,906,297,744
  5. Step 5: Solve for x
    x = 726,906,297,744/395,190
  6. Step 6: Final answer
    x = 1,839,384.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.