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Finding the Third Proportional to 253,734 and 552,672

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Solution

The third proportional to 253,734 and 552,672 is: 1,203,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,734 : 552,672 = 552,672 : x
  2. Step 2: Convert to fraction form
    253,734/552,672 = 552,672/x
  3. Step 3: Cross multiply
    253,734x = 552,672 × 552,672
  4. Step 4: Simplify right side
    253,734x = 305,446,339,584
  5. Step 5: Solve for x
    x = 305,446,339,584/253,734
  6. Step 6: Final answer
    x = 1,203,805.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.