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Finding the Third Proportional to 244,015 and 447,530

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Solution

The third proportional to 244,015 and 447,530 is: 820,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,015 : 447,530 = 447,530 : x
  2. Step 2: Convert to fraction form
    244,015/447,530 = 447,530/x
  3. Step 3: Cross multiply
    244,015x = 447,530 × 447,530
  4. Step 4: Simplify right side
    244,015x = 200,283,100,900
  5. Step 5: Solve for x
    x = 200,283,100,900/244,015
  6. Step 6: Final answer
    x = 820,781.92

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.