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Finding the Third Proportional to 541,880 and 804,975

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Solution

The third proportional to 541,880 and 804,975 is: 1,195,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,880 : 804,975 = 804,975 : x
  2. Step 2: Convert to fraction form
    541,880/804,975 = 804,975/x
  3. Step 3: Cross multiply
    541,880x = 804,975 × 804,975
  4. Step 4: Simplify right side
    541,880x = 647,984,750,625
  5. Step 5: Solve for x
    x = 647,984,750,625/541,880
  6. Step 6: Final answer
    x = 1,195,808.58

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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.