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Finding the Third Proportional to 229,706 and 487,204

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Solution

The third proportional to 229,706 and 487,204 is: 1,033,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,706 : 487,204 = 487,204 : x
  2. Step 2: Convert to fraction form
    229,706/487,204 = 487,204/x
  3. Step 3: Cross multiply
    229,706x = 487,204 × 487,204
  4. Step 4: Simplify right side
    229,706x = 237,367,737,616
  5. Step 5: Solve for x
    x = 237,367,737,616/229,706
  6. Step 6: Final answer
    x = 1,033,354.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.