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Finding the Third Proportional to 550,481 and 775,177

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Solution

The third proportional to 550,481 and 775,177 is: 1,091,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,481 : 775,177 = 775,177 : x
  2. Step 2: Convert to fraction form
    550,481/775,177 = 775,177/x
  3. Step 3: Cross multiply
    550,481x = 775,177 × 775,177
  4. Step 4: Simplify right side
    550,481x = 600,899,381,329
  5. Step 5: Solve for x
    x = 600,899,381,329/550,481
  6. Step 6: Final answer
    x = 1,091,589.68

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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.