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Finding the Third Proportional to 206,970 and 451,848

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Solution

The third proportional to 206,970 and 451,848 is: 986,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970 : 451,848 = 451,848 : x
  2. Step 2: Convert to fraction form
    206,970/451,848 = 451,848/x
  3. Step 3: Cross multiply
    206,970x = 451,848 × 451,848
  4. Step 4: Simplify right side
    206,970x = 204,166,615,104
  5. Step 5: Solve for x
    x = 204,166,615,104/206,970
  6. Step 6: Final answer
    x = 986,455.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.