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Finding the Third Proportional to 255,398 and 518,092

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Solution

The third proportional to 255,398 and 518,092 is: 1,050,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,398 : 518,092 = 518,092 : x
  2. Step 2: Convert to fraction form
    255,398/518,092 = 518,092/x
  3. Step 3: Cross multiply
    255,398x = 518,092 × 518,092
  4. Step 4: Simplify right side
    255,398x = 268,419,320,464
  5. Step 5: Solve for x
    x = 268,419,320,464/255,398
  6. Step 6: Final answer
    x = 1,050,984.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.