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Finding the Third Proportional to 205,526 and 445,990

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Solution

The third proportional to 205,526 and 445,990 is: 967,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,526 : 445,990 = 445,990 : x
  2. Step 2: Convert to fraction form
    205,526/445,990 = 445,990/x
  3. Step 3: Cross multiply
    205,526x = 445,990 × 445,990
  4. Step 4: Simplify right side
    205,526x = 198,907,080,100
  5. Step 5: Solve for x
    x = 198,907,080,100/205,526
  6. Step 6: Final answer
    x = 967,795.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.