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Finding the Third Proportional to 231,216 and 476,256

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Solution

The third proportional to 231,216 and 476,256 is: 980,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,216 : 476,256 = 476,256 : x
  2. Step 2: Convert to fraction form
    231,216/476,256 = 476,256/x
  3. Step 3: Cross multiply
    231,216x = 476,256 × 476,256
  4. Step 4: Simplify right side
    231,216x = 226,819,777,536
  5. Step 5: Solve for x
    x = 226,819,777,536/231,216
  6. Step 6: Final answer
    x = 980,986.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.