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Finding the Third Proportional to 206,991 and 452,726

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Solution

The third proportional to 206,991 and 452,726 is: 990,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991 : 452,726 = 452,726 : x
  2. Step 2: Convert to fraction form
    206,991/452,726 = 452,726/x
  3. Step 3: Cross multiply
    206,991x = 452,726 × 452,726
  4. Step 4: Simplify right side
    206,991x = 204,960,831,076
  5. Step 5: Solve for x
    x = 204,960,831,076/206,991
  6. Step 6: Final answer
    x = 990,191.99

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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.