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Finding the Third Proportional to 205,524 and 445,986

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Solution

The third proportional to 205,524 and 445,986 is: 967,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,524 : 445,986 = 445,986 : x
  2. Step 2: Convert to fraction form
    205,524/445,986 = 445,986/x
  3. Step 3: Cross multiply
    205,524x = 445,986 × 445,986
  4. Step 4: Simplify right side
    205,524x = 198,903,512,196
  5. Step 5: Solve for x
    x = 198,903,512,196/205,524
  6. Step 6: Final answer
    x = 967,787.28

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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.