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Finding the Third Proportional to 229,104 and 491,256

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Solution

The third proportional to 229,104 and 491,256 is: 1,053,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,104 : 491,256 = 491,256 : x
  2. Step 2: Convert to fraction form
    229,104/491,256 = 491,256/x
  3. Step 3: Cross multiply
    229,104x = 491,256 × 491,256
  4. Step 4: Simplify right side
    229,104x = 241,332,457,536
  5. Step 5: Solve for x
    x = 241,332,457,536/229,104
  6. Step 6: Final answer
    x = 1,053,375.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.