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Finding the Third Proportional to 541,884 and 804,974

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Solution

The third proportional to 541,884 and 804,974 is: 1,195,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,884 : 804,974 = 804,974 : x
  2. Step 2: Convert to fraction form
    541,884/804,974 = 804,974/x
  3. Step 3: Cross multiply
    541,884x = 804,974 × 804,974
  4. Step 4: Simplify right side
    541,884x = 647,983,140,676
  5. Step 5: Solve for x
    x = 647,983,140,676/541,884
  6. Step 6: Final answer
    x = 1,195,796.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.