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Finding the Third Proportional to 207,839 and 447,733

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Solution

The third proportional to 207,839 and 447,733 is: 964,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839 : 447,733 = 447,733 : x
  2. Step 2: Convert to fraction form
    207,839/447,733 = 447,733/x
  3. Step 3: Cross multiply
    207,839x = 447,733 × 447,733
  4. Step 4: Simplify right side
    207,839x = 200,464,839,289
  5. Step 5: Solve for x
    x = 200,464,839,289/207,839
  6. Step 6: Final answer
    x = 964,519.84

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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.