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Finding the Third Proportional to 207,876 and 449,017

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Solution

The third proportional to 207,876 and 449,017 is: 969,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,876 : 449,017 = 449,017 : x
  2. Step 2: Convert to fraction form
    207,876/449,017 = 449,017/x
  3. Step 3: Cross multiply
    207,876x = 449,017 × 449,017
  4. Step 4: Simplify right side
    207,876x = 201,616,266,289
  5. Step 5: Solve for x
    x = 201,616,266,289/207,876
  6. Step 6: Final answer
    x = 969,887.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.