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Finding the Third Proportional to 541,882 and 804,979

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Solution

The third proportional to 541,882 and 804,979 is: 1,195,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,882 : 804,979 = 804,979 : x
  2. Step 2: Convert to fraction form
    541,882/804,979 = 804,979/x
  3. Step 3: Cross multiply
    541,882x = 804,979 × 804,979
  4. Step 4: Simplify right side
    541,882x = 647,991,190,441
  5. Step 5: Solve for x
    x = 647,991,190,441/541,882
  6. Step 6: Final answer
    x = 1,195,816.05

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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.