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Finding the Third Proportional to 206,969 and 452,683

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Solution

The third proportional to 206,969 and 452,683 is: 990,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969 : 452,683 = 452,683 : x
  2. Step 2: Convert to fraction form
    206,969/452,683 = 452,683/x
  3. Step 3: Cross multiply
    206,969x = 452,683 × 452,683
  4. Step 4: Simplify right side
    206,969x = 204,921,898,489
  5. Step 5: Solve for x
    x = 204,921,898,489/206,969
  6. Step 6: Final answer
    x = 990,109.14

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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.