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Finding the Third Proportional to 208,091 and 454,706

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Solution

The third proportional to 208,091 and 454,706 is: 993,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,091 : 454,706 = 454,706 : x
  2. Step 2: Convert to fraction form
    208,091/454,706 = 454,706/x
  3. Step 3: Cross multiply
    208,091x = 454,706 × 454,706
  4. Step 4: Simplify right side
    208,091x = 206,757,546,436
  5. Step 5: Solve for x
    x = 206,757,546,436/208,091
  6. Step 6: Final answer
    x = 993,591.97

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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.