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Finding the Third Proportional to 244,048 and 447,596

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Solution

The third proportional to 244,048 and 447,596 is: 820,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,048 : 447,596 = 447,596 : x
  2. Step 2: Convert to fraction form
    244,048/447,596 = 447,596/x
  3. Step 3: Cross multiply
    244,048x = 447,596 × 447,596
  4. Step 4: Simplify right side
    244,048x = 200,342,179,216
  5. Step 5: Solve for x
    x = 200,342,179,216/244,048
  6. Step 6: Final answer
    x = 820,913.01

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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.