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Finding the Third Proportional to 258,092 and 539,832

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Solution

The third proportional to 258,092 and 539,832 is: 1,129,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,092 : 539,832 = 539,832 : x
  2. Step 2: Convert to fraction form
    258,092/539,832 = 539,832/x
  3. Step 3: Cross multiply
    258,092x = 539,832 × 539,832
  4. Step 4: Simplify right side
    258,092x = 291,418,588,224
  5. Step 5: Solve for x
    x = 291,418,588,224/258,092
  6. Step 6: Final answer
    x = 1,129,126.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.