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Finding the Third Proportional to 207,846 and 447,741

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Solution

The third proportional to 207,846 and 447,741 is: 964,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846 : 447,741 = 447,741 : x
  2. Step 2: Convert to fraction form
    207,846/447,741 = 447,741/x
  3. Step 3: Cross multiply
    207,846x = 447,741 × 447,741
  4. Step 4: Simplify right side
    207,846x = 200,472,003,081
  5. Step 5: Solve for x
    x = 200,472,003,081/207,846
  6. Step 6: Final answer
    x = 964,521.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.