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Finding the Third Proportional to 582,204 and 925,796

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Solution

The third proportional to 582,204 and 925,796 is: 1,472,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,204 : 925,796 = 925,796 : x
  2. Step 2: Convert to fraction form
    582,204/925,796 = 925,796/x
  3. Step 3: Cross multiply
    582,204x = 925,796 × 925,796
  4. Step 4: Simplify right side
    582,204x = 857,098,233,616
  5. Step 5: Solve for x
    x = 857,098,233,616/582,204
  6. Step 6: Final answer
    x = 1,472,161.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.