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Finding the Third Proportional to 206,106 and 447,462

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Solution

The third proportional to 206,106 and 447,462 is: 971,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,106 : 447,462 = 447,462 : x
  2. Step 2: Convert to fraction form
    206,106/447,462 = 447,462/x
  3. Step 3: Cross multiply
    206,106x = 447,462 × 447,462
  4. Step 4: Simplify right side
    206,106x = 200,222,241,444
  5. Step 5: Solve for x
    x = 200,222,241,444/206,106
  6. Step 6: Final answer
    x = 971,452.75

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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.