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Finding the Third Proportional to 229,691 and 487,183

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Solution

The third proportional to 229,691 and 487,183 is: 1,033,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,691 : 487,183 = 487,183 : x
  2. Step 2: Convert to fraction form
    229,691/487,183 = 487,183/x
  3. Step 3: Cross multiply
    229,691x = 487,183 × 487,183
  4. Step 4: Simplify right side
    229,691x = 237,347,275,489
  5. Step 5: Solve for x
    x = 237,347,275,489/229,691
  6. Step 6: Final answer
    x = 1,033,332.94

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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.