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Finding the Third Proportional to 205,891.50 and 444,588

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Solution

The third proportional to 205,891.50 and 444,588 is: 960,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,891.50 : 444,588 = 444,588 : x
  2. Step 2: Convert to fraction form
    205,891.50/444,588 = 444,588/x
  3. Step 3: Cross multiply
    205,891.50x = 444,588 × 444,588
  4. Step 4: Simplify right side
    205,891.50x = 197,658,489,744
  5. Step 5: Solve for x
    x = 197,658,489,744/205,891.50
  6. Step 6: Final answer
    x = 960,012.87

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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.