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Finding the Third Proportional to 331,533 and 499,236.75

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Solution

The third proportional to 331,533 and 499,236.75 is: 751,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,533 : 499,236.75 = 499,236.75 : x
  2. Step 2: Convert to fraction form
    331,533/499,236.75 = 499,236.75/x
  3. Step 3: Cross multiply
    331,533x = 499,236.75 × 499,236.75
  4. Step 4: Simplify right side
    331,533x = 249,237,332,550.56
  5. Step 5: Solve for x
    x = 249,237,332,550.56/331,533
  6. Step 6: Final answer
    x = 751,772.32

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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.