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Finding the Third Proportional to 206,333 and 452,033

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Solution

The third proportional to 206,333 and 452,033 is: 990,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,333 : 452,033 = 452,033 : x
  2. Step 2: Convert to fraction form
    206,333/452,033 = 452,033/x
  3. Step 3: Cross multiply
    206,333x = 452,033 × 452,033
  4. Step 4: Simplify right side
    206,333x = 204,333,833,089
  5. Step 5: Solve for x
    x = 204,333,833,089/206,333
  6. Step 6: Final answer
    x = 990,310.97

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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.