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Finding the Third Proportional to 206,460 and 452,286

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Solution

The third proportional to 206,460 and 452,286 is: 990,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460 : 452,286 = 452,286 : x
  2. Step 2: Convert to fraction form
    206,460/452,286 = 452,286/x
  3. Step 3: Cross multiply
    206,460x = 452,286 × 452,286
  4. Step 4: Simplify right side
    206,460x = 204,562,625,796
  5. Step 5: Solve for x
    x = 204,562,625,796/206,460
  6. Step 6: Final answer
    x = 990,809.97

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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.