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Finding the Third Proportional to 244,016 and 447,532

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Solution

The third proportional to 244,016 and 447,532 is: 820,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,016 : 447,532 = 447,532 : x
  2. Step 2: Convert to fraction form
    244,016/447,532 = 447,532/x
  3. Step 3: Cross multiply
    244,016x = 447,532 × 447,532
  4. Step 4: Simplify right side
    244,016x = 200,284,891,024
  5. Step 5: Solve for x
    x = 200,284,891,024/244,016
  6. Step 6: Final answer
    x = 820,785.90

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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.