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Finding the Third Proportional to 541,392 and 756,876

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Solution

The third proportional to 541,392 and 756,876 is: 1,058,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,392 : 756,876 = 756,876 : x
  2. Step 2: Convert to fraction form
    541,392/756,876 = 756,876/x
  3. Step 3: Cross multiply
    541,392x = 756,876 × 756,876
  4. Step 4: Simplify right side
    541,392x = 572,861,279,376
  5. Step 5: Solve for x
    x = 572,861,279,376/541,392
  6. Step 6: Final answer
    x = 1,058,126.61

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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.