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Finding the Third Proportional to 393,185 and 593,512

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Solution

The third proportional to 393,185 and 593,512 is: 895,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,185 : 593,512 = 593,512 : x
  2. Step 2: Convert to fraction form
    393,185/593,512 = 593,512/x
  3. Step 3: Cross multiply
    393,185x = 593,512 × 593,512
  4. Step 4: Simplify right side
    393,185x = 352,256,494,144
  5. Step 5: Solve for x
    x = 352,256,494,144/393,185
  6. Step 6: Final answer
    x = 895,905.22

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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.