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Finding the Third Proportional to 206,343 and 452,538

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Solution

The third proportional to 206,343 and 452,538 is: 992,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,343 : 452,538 = 452,538 : x
  2. Step 2: Convert to fraction form
    206,343/452,538 = 452,538/x
  3. Step 3: Cross multiply
    206,343x = 452,538 × 452,538
  4. Step 4: Simplify right side
    206,343x = 204,790,641,444
  5. Step 5: Solve for x
    x = 204,790,641,444/206,343
  6. Step 6: Final answer
    x = 992,476.81

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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.