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Finding the Third Proportional to 550,556 and 804,589

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Solution

The third proportional to 550,556 and 804,589 is: 1,175,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,556 : 804,589 = 804,589 : x
  2. Step 2: Convert to fraction form
    550,556/804,589 = 804,589/x
  3. Step 3: Cross multiply
    550,556x = 804,589 × 804,589
  4. Step 4: Simplify right side
    550,556x = 647,363,458,921
  5. Step 5: Solve for x
    x = 647,363,458,921/550,556
  6. Step 6: Final answer
    x = 1,175,835.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.