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Finding the Third Proportional to 541,391 and 756,874

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Solution

The third proportional to 541,391 and 756,874 is: 1,058,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,391 : 756,874 = 756,874 : x
  2. Step 2: Convert to fraction form
    541,391/756,874 = 756,874/x
  3. Step 3: Cross multiply
    541,391x = 756,874 × 756,874
  4. Step 4: Simplify right side
    541,391x = 572,858,251,876
  5. Step 5: Solve for x
    x = 572,858,251,876/541,391
  6. Step 6: Final answer
    x = 1,058,122.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.