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Finding the Third Proportional to 205,404 and 444,504

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Solution

The third proportional to 205,404 and 444,504 is: 961,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,404 : 444,504 = 444,504 : x
  2. Step 2: Convert to fraction form
    205,404/444,504 = 444,504/x
  3. Step 3: Cross multiply
    205,404x = 444,504 × 444,504
  4. Step 4: Simplify right side
    205,404x = 197,583,806,016
  5. Step 5: Solve for x
    x = 197,583,806,016/205,404
  6. Step 6: Final answer
    x = 961,927.74

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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.