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Finding the Third Proportional to 207,936 and 449,058

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Solution

The third proportional to 207,936 and 449,058 is: 969,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,936 : 449,058 = 449,058 : x
  2. Step 2: Convert to fraction form
    207,936/449,058 = 449,058/x
  3. Step 3: Cross multiply
    207,936x = 449,058 × 449,058
  4. Step 4: Simplify right side
    207,936x = 201,653,087,364
  5. Step 5: Solve for x
    x = 201,653,087,364/207,936
  6. Step 6: Final answer
    x = 969,784.39

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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.