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Finding the Third Proportional to 205,668 and 450,696

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Solution

The third proportional to 205,668 and 450,696 is: 987,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,668 : 450,696 = 450,696 : x
  2. Step 2: Convert to fraction form
    205,668/450,696 = 450,696/x
  3. Step 3: Cross multiply
    205,668x = 450,696 × 450,696
  4. Step 4: Simplify right side
    205,668x = 203,126,884,416
  5. Step 5: Solve for x
    x = 203,126,884,416/205,668
  6. Step 6: Final answer
    x = 987,644.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.