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Finding the Third Proportional to 200,769 and 445,824

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Solution

The third proportional to 200,769 and 445,824 is: 989,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769 : 445,824 = 445,824 : x
  2. Step 2: Convert to fraction form
    200,769/445,824 = 445,824/x
  3. Step 3: Cross multiply
    200,769x = 445,824 × 445,824
  4. Step 4: Simplify right side
    200,769x = 198,759,038,976
  5. Step 5: Solve for x
    x = 198,759,038,976/200,769
  6. Step 6: Final answer
    x = 989,988.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.