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Finding the Third Proportional to 208,086 and 454,698

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Solution

The third proportional to 208,086 and 454,698 is: 993,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086 : 454,698 = 454,698 : x
  2. Step 2: Convert to fraction form
    208,086/454,698 = 454,698/x
  3. Step 3: Cross multiply
    208,086x = 454,698 × 454,698
  4. Step 4: Simplify right side
    208,086x = 206,750,271,204
  5. Step 5: Solve for x
    x = 206,750,271,204/208,086
  6. Step 6: Final answer
    x = 993,580.88

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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.