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Finding the Third Proportional to 229,179 and 504,042

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Solution

The third proportional to 229,179 and 504,042 is: 1,108,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,179 : 504,042 = 504,042 : x
  2. Step 2: Convert to fraction form
    229,179/504,042 = 504,042/x
  3. Step 3: Cross multiply
    229,179x = 504,042 × 504,042
  4. Step 4: Simplify right side
    229,179x = 254,058,337,764
  5. Step 5: Solve for x
    x = 254,058,337,764/229,179
  6. Step 6: Final answer
    x = 1,108,558.54

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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.