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Finding the Third Proportional to 253,558 and 550,898

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Solution

The third proportional to 253,558 and 550,898 is: 1,196,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,558 : 550,898 = 550,898 : x
  2. Step 2: Convert to fraction form
    253,558/550,898 = 550,898/x
  3. Step 3: Cross multiply
    253,558x = 550,898 × 550,898
  4. Step 4: Simplify right side
    253,558x = 303,488,606,404
  5. Step 5: Solve for x
    x = 303,488,606,404/253,558
  6. Step 6: Final answer
    x = 1,196,919.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.