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Finding the Third Proportional to 205,806 and 444,417

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Solution

The third proportional to 205,806 and 444,417 is: 959,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806 : 444,417 = 444,417 : x
  2. Step 2: Convert to fraction form
    205,806/444,417 = 444,417/x
  3. Step 3: Cross multiply
    205,806x = 444,417 × 444,417
  4. Step 4: Simplify right side
    205,806x = 197,506,469,889
  5. Step 5: Solve for x
    x = 197,506,469,889/205,806
  6. Step 6: Final answer
    x = 959,673.04

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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.