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Finding the Third Proportional to 244,050 and 447,600

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Solution

The third proportional to 244,050 and 447,600 is: 820,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,050 : 447,600 = 447,600 : x
  2. Step 2: Convert to fraction form
    244,050/447,600 = 447,600/x
  3. Step 3: Cross multiply
    244,050x = 447,600 × 447,600
  4. Step 4: Simplify right side
    244,050x = 200,345,760,000
  5. Step 5: Solve for x
    x = 200,345,760,000/244,050
  6. Step 6: Final answer
    x = 820,920.96

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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.