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Finding the Third Proportional to 225,724 and 504,920

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Solution

The third proportional to 225,724 and 504,920 is: 1,129,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,724 : 504,920 = 504,920 : x
  2. Step 2: Convert to fraction form
    225,724/504,920 = 504,920/x
  3. Step 3: Cross multiply
    225,724x = 504,920 × 504,920
  4. Step 4: Simplify right side
    225,724x = 254,944,206,400
  5. Step 5: Solve for x
    x = 254,944,206,400/225,724
  6. Step 6: Final answer
    x = 1,129,451.04

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.