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Finding the Third Proportional to 327,792 and 514,512

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Solution

The third proportional to 327,792 and 514,512 is: 807,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,792 : 514,512 = 514,512 : x
  2. Step 2: Convert to fraction form
    327,792/514,512 = 514,512/x
  3. Step 3: Cross multiply
    327,792x = 514,512 × 514,512
  4. Step 4: Simplify right side
    327,792x = 264,722,598,144
  5. Step 5: Solve for x
    x = 264,722,598,144/327,792
  6. Step 6: Final answer
    x = 807,593.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.