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Finding the Third Proportional to 254,058 and 541,866

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Solution

The third proportional to 254,058 and 541,866 is: 1,155,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,058 : 541,866 = 541,866 : x
  2. Step 2: Convert to fraction form
    254,058/541,866 = 541,866/x
  3. Step 3: Cross multiply
    254,058x = 541,866 × 541,866
  4. Step 4: Simplify right side
    254,058x = 293,618,761,956
  5. Step 5: Solve for x
    x = 293,618,761,956/254,058
  6. Step 6: Final answer
    x = 1,155,715.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.