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Finding the Third Proportional to 253,956 and 523,272

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Solution

The third proportional to 253,956 and 523,272 is: 1,078,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,956 : 523,272 = 523,272 : x
  2. Step 2: Convert to fraction form
    253,956/523,272 = 523,272/x
  3. Step 3: Cross multiply
    253,956x = 523,272 × 523,272
  4. Step 4: Simplify right side
    253,956x = 273,813,585,984
  5. Step 5: Solve for x
    x = 273,813,585,984/253,956
  6. Step 6: Final answer
    x = 1,078,193.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.