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Finding the Third Proportional to 207,892 and 449,044

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Solution

The third proportional to 207,892 and 449,044 is: 969,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,892 : 449,044 = 449,044 : x
  2. Step 2: Convert to fraction form
    207,892/449,044 = 449,044/x
  3. Step 3: Cross multiply
    207,892x = 449,044 × 449,044
  4. Step 4: Simplify right side
    207,892x = 201,640,513,936
  5. Step 5: Solve for x
    x = 201,640,513,936/207,892
  6. Step 6: Final answer
    x = 969,929.16

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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.