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Finding the Third Proportional to 206,366 and 447,083

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Solution

The third proportional to 206,366 and 447,083 is: 968,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,366 : 447,083 = 447,083 : x
  2. Step 2: Convert to fraction form
    206,366/447,083 = 447,083/x
  3. Step 3: Cross multiply
    206,366x = 447,083 × 447,083
  4. Step 4: Simplify right side
    206,366x = 199,883,208,889
  5. Step 5: Solve for x
    x = 199,883,208,889/206,366
  6. Step 6: Final answer
    x = 968,585.95

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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.