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Finding the Third Proportional to 332,082 and 518,859

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Solution

The third proportional to 332,082 and 518,859 is: 810,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,082 : 518,859 = 518,859 : x
  2. Step 2: Convert to fraction form
    332,082/518,859 = 518,859/x
  3. Step 3: Cross multiply
    332,082x = 518,859 × 518,859
  4. Step 4: Simplify right side
    332,082x = 269,214,661,881
  5. Step 5: Solve for x
    x = 269,214,661,881/332,082
  6. Step 6: Final answer
    x = 810,687.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.