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Finding the Third Proportional to 253,724 and 552,652

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Solution

The third proportional to 253,724 and 552,652 is: 1,203,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,724 : 552,652 = 552,652 : x
  2. Step 2: Convert to fraction form
    253,724/552,652 = 552,652/x
  3. Step 3: Cross multiply
    253,724x = 552,652 × 552,652
  4. Step 4: Simplify right side
    253,724x = 305,424,233,104
  5. Step 5: Solve for x
    x = 305,424,233,104/253,724
  6. Step 6: Final answer
    x = 1,203,765.64

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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.