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Finding the Third Proportional to 205,894 and 444,592

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Solution

The third proportional to 205,894 and 444,592 is: 960,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,894 : 444,592 = 444,592 : x
  2. Step 2: Convert to fraction form
    205,894/444,592 = 444,592/x
  3. Step 3: Cross multiply
    205,894x = 444,592 × 444,592
  4. Step 4: Simplify right side
    205,894x = 197,662,046,464
  5. Step 5: Solve for x
    x = 197,662,046,464/205,894
  6. Step 6: Final answer
    x = 960,018.49

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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.