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Finding the Third Proportional to 206,091 and 452,034

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Solution

The third proportional to 206,091 and 452,034 is: 991,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,091 : 452,034 = 452,034 : x
  2. Step 2: Convert to fraction form
    206,091/452,034 = 452,034/x
  3. Step 3: Cross multiply
    206,091x = 452,034 × 452,034
  4. Step 4: Simplify right side
    206,091x = 204,334,737,156
  5. Step 5: Solve for x
    x = 204,334,737,156/206,091
  6. Step 6: Final answer
    x = 991,478.22

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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.