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Finding the Third Proportional to 205,906 and 444,292

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Solution

The third proportional to 205,906 and 444,292 is: 958,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,906 : 444,292 = 444,292 : x
  2. Step 2: Convert to fraction form
    205,906/444,292 = 444,292/x
  3. Step 3: Cross multiply
    205,906x = 444,292 × 444,292
  4. Step 4: Simplify right side
    205,906x = 197,395,381,264
  5. Step 5: Solve for x
    x = 197,395,381,264/205,906
  6. Step 6: Final answer
    x = 958,667.46

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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.