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Finding the Third Proportional to 331,530 and 508,744

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Solution

The third proportional to 331,530 and 508,744 is: 780,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,530 : 508,744 = 508,744 : x
  2. Step 2: Convert to fraction form
    331,530/508,744 = 508,744/x
  3. Step 3: Cross multiply
    331,530x = 508,744 × 508,744
  4. Step 4: Simplify right side
    331,530x = 258,820,457,536
  5. Step 5: Solve for x
    x = 258,820,457,536/331,530
  6. Step 6: Final answer
    x = 780,684.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.