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Finding the Third Proportional to 393,178 and 593,016

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Solution

The third proportional to 393,178 and 593,016 is: 894,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,178 : 593,016 = 593,016 : x
  2. Step 2: Convert to fraction form
    393,178/593,016 = 593,016/x
  3. Step 3: Cross multiply
    393,178x = 593,016 × 593,016
  4. Step 4: Simplify right side
    393,178x = 351,667,976,256
  5. Step 5: Solve for x
    x = 351,667,976,256/393,178
  6. Step 6: Final answer
    x = 894,424.35

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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.