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Finding the Third Proportional to 205,385 and 444,466

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Solution

The third proportional to 205,385 and 444,466 is: 961,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,385 : 444,466 = 444,466 : x
  2. Step 2: Convert to fraction form
    205,385/444,466 = 444,466/x
  3. Step 3: Cross multiply
    205,385x = 444,466 × 444,466
  4. Step 4: Simplify right side
    205,385x = 197,550,025,156
  5. Step 5: Solve for x
    x = 197,550,025,156/205,385
  6. Step 6: Final answer
    x = 961,852.25

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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.