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Finding the Third Proportional to 206,608 and 447,984

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Solution

The third proportional to 206,608 and 447,984 is: 971,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,608 : 447,984 = 447,984 : x
  2. Step 2: Convert to fraction form
    206,608/447,984 = 447,984/x
  3. Step 3: Cross multiply
    206,608x = 447,984 × 447,984
  4. Step 4: Simplify right side
    206,608x = 200,689,664,256
  5. Step 5: Solve for x
    x = 200,689,664,256/206,608
  6. Step 6: Final answer
    x = 971,354.76

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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.