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Finding the Third Proportional to 205,964 and 451,296

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Solution

The third proportional to 205,964 and 451,296 is: 988,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,964 : 451,296 = 451,296 : x
  2. Step 2: Convert to fraction form
    205,964/451,296 = 451,296/x
  3. Step 3: Cross multiply
    205,964x = 451,296 × 451,296
  4. Step 4: Simplify right side
    205,964x = 203,668,079,616
  5. Step 5: Solve for x
    x = 203,668,079,616/205,964
  6. Step 6: Final answer
    x = 988,852.81

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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.