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Finding the Third Proportional to 206,440 and 452,228

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Solution

The third proportional to 206,440 and 452,228 is: 990,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,440 : 452,228 = 452,228 : x
  2. Step 2: Convert to fraction form
    206,440/452,228 = 452,228/x
  3. Step 3: Cross multiply
    206,440x = 452,228 × 452,228
  4. Step 4: Simplify right side
    206,440x = 204,510,163,984
  5. Step 5: Solve for x
    x = 204,510,163,984/206,440
  6. Step 6: Final answer
    x = 990,651.83

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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.