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Finding the Third Proportional to 574,443 and 804,975

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Solution

The third proportional to 574,443 and 804,975 is: 1,128,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,443 : 804,975 = 804,975 : x
  2. Step 2: Convert to fraction form
    574,443/804,975 = 804,975/x
  3. Step 3: Cross multiply
    574,443x = 804,975 × 804,975
  4. Step 4: Simplify right side
    574,443x = 647,984,750,625
  5. Step 5: Solve for x
    x = 647,984,750,625/574,443
  6. Step 6: Final answer
    x = 1,128,022.71

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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.