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Finding the Third Proportional to 206,966 and 452,677

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Solution

The third proportional to 206,966 and 452,677 is: 990,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966 : 452,677 = 452,677 : x
  2. Step 2: Convert to fraction form
    206,966/452,677 = 452,677/x
  3. Step 3: Cross multiply
    206,966x = 452,677 × 452,677
  4. Step 4: Simplify right side
    206,966x = 204,916,466,329
  5. Step 5: Solve for x
    x = 204,916,466,329/206,966
  6. Step 6: Final answer
    x = 990,097.24

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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.