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Finding the Third Proportional to 253,729 and 552,662

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Solution

The third proportional to 253,729 and 552,662 is: 1,203,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,729 : 552,662 = 552,662 : x
  2. Step 2: Convert to fraction form
    253,729/552,662 = 552,662/x
  3. Step 3: Cross multiply
    253,729x = 552,662 × 552,662
  4. Step 4: Simplify right side
    253,729x = 305,435,286,244
  5. Step 5: Solve for x
    x = 305,435,286,244/253,729
  6. Step 6: Final answer
    x = 1,203,785.48

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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.