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Finding the Third Proportional to 331,728 and 499,256

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Solution

The third proportional to 331,728 and 499,256 is: 751,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,728 : 499,256 = 499,256 : x
  2. Step 2: Convert to fraction form
    331,728/499,256 = 499,256/x
  3. Step 3: Cross multiply
    331,728x = 499,256 × 499,256
  4. Step 4: Simplify right side
    331,728x = 249,256,553,536
  5. Step 5: Solve for x
    x = 249,256,553,536/331,728
  6. Step 6: Final answer
    x = 751,388.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.