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Finding the Third Proportional to 550,652 and 775,451

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Solution

The third proportional to 550,652 and 775,451 is: 1,092,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,652 : 775,451 = 775,451 : x
  2. Step 2: Convert to fraction form
    550,652/775,451 = 775,451/x
  3. Step 3: Cross multiply
    550,652x = 775,451 × 775,451
  4. Step 4: Simplify right side
    550,652x = 601,324,253,401
  5. Step 5: Solve for x
    x = 601,324,253,401/550,652
  6. Step 6: Final answer
    x = 1,092,022.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.