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Finding the Third Proportional to 229,874 and 505,828

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Solution

The third proportional to 229,874 and 505,828 is: 1,113,053.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,874 : 505,828 = 505,828 : x
  2. Step 2: Convert to fraction form
    229,874/505,828 = 505,828/x
  3. Step 3: Cross multiply
    229,874x = 505,828 × 505,828
  4. Step 4: Simplify right side
    229,874x = 255,861,965,584
  5. Step 5: Solve for x
    x = 255,861,965,584/229,874
  6. Step 6: Final answer
    x = 1,113,053.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.