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Finding the Third Proportional to 253,100 and 529,474

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Solution

The third proportional to 253,100 and 529,474 is: 1,107,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,100 : 529,474 = 529,474 : x
  2. Step 2: Convert to fraction form
    253,100/529,474 = 529,474/x
  3. Step 3: Cross multiply
    253,100x = 529,474 × 529,474
  4. Step 4: Simplify right side
    253,100x = 280,342,716,676
  5. Step 5: Solve for x
    x = 280,342,716,676/253,100
  6. Step 6: Final answer
    x = 1,107,636.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.