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Finding the Third Proportional to 253,318 and 547,244

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Solution

The third proportional to 253,318 and 547,244 is: 1,182,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,318 : 547,244 = 547,244 : x
  2. Step 2: Convert to fraction form
    253,318/547,244 = 547,244/x
  3. Step 3: Cross multiply
    253,318x = 547,244 × 547,244
  4. Step 4: Simplify right side
    253,318x = 299,475,995,536
  5. Step 5: Solve for x
    x = 299,475,995,536/253,318
  6. Step 6: Final answer
    x = 1,182,213.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.