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Finding the Third Proportional to 255,744 and 552,204

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Solution

The third proportional to 255,744 and 552,204 is: 1,192,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744 : 552,204 = 552,204 : x
  2. Step 2: Convert to fraction form
    255,744/552,204 = 552,204/x
  3. Step 3: Cross multiply
    255,744x = 552,204 × 552,204
  4. Step 4: Simplify right side
    255,744x = 304,929,257,616
  5. Step 5: Solve for x
    x = 304,929,257,616/255,744
  6. Step 6: Final answer
    x = 1,192,322.23

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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.