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Finding the Third Proportional to 393,181 and 593,021

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Solution

The third proportional to 393,181 and 593,021 is: 894,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,181 : 593,021 = 593,021 : x
  2. Step 2: Convert to fraction form
    393,181/593,021 = 593,021/x
  3. Step 3: Cross multiply
    393,181x = 593,021 × 593,021
  4. Step 4: Simplify right side
    393,181x = 351,673,906,441
  5. Step 5: Solve for x
    x = 351,673,906,441/393,181
  6. Step 6: Final answer
    x = 894,432.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.