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Finding the Third Proportional to 331,533 and 506,814.75

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Solution

The third proportional to 331,533 and 506,814.75 is: 774,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,533 : 506,814.75 = 506,814.75 : x
  2. Step 2: Convert to fraction form
    331,533/506,814.75 = 506,814.75/x
  3. Step 3: Cross multiply
    331,533x = 506,814.75 × 506,814.75
  4. Step 4: Simplify right side
    331,533x = 256,861,190,817.56
  5. Step 5: Solve for x
    x = 256,861,190,817.56/331,533
  6. Step 6: Final answer
    x = 774,768.09

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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.