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Finding the Third Proportional to 205,932 and 451,228

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Solution

The third proportional to 205,932 and 451,228 is: 988,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,932 : 451,228 = 451,228 : x
  2. Step 2: Convert to fraction form
    205,932/451,228 = 451,228/x
  3. Step 3: Cross multiply
    205,932x = 451,228 × 451,228
  4. Step 4: Simplify right side
    205,932x = 203,606,707,984
  5. Step 5: Solve for x
    x = 203,606,707,984/205,932
  6. Step 6: Final answer
    x = 988,708.45

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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.