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Finding the Third Proportional to 253,296 and 550,494

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Solution

The third proportional to 253,296 and 550,494 is: 1,196,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,296 : 550,494 = 550,494 : x
  2. Step 2: Convert to fraction form
    253,296/550,494 = 550,494/x
  3. Step 3: Cross multiply
    253,296x = 550,494 × 550,494
  4. Step 4: Simplify right side
    253,296x = 303,043,644,036
  5. Step 5: Solve for x
    x = 303,043,644,036/253,296
  6. Step 6: Final answer
    x = 1,196,401.22

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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.