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Finding the Third Proportional to 203,817 and 416,706

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Solution

The third proportional to 203,817 and 416,706 is: 851,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,817 : 416,706 = 416,706 : x
  2. Step 2: Convert to fraction form
    203,817/416,706 = 416,706/x
  3. Step 3: Cross multiply
    203,817x = 416,706 × 416,706
  4. Step 4: Simplify right side
    203,817x = 173,643,890,436
  5. Step 5: Solve for x
    x = 173,643,890,436/203,817
  6. Step 6: Final answer
    x = 851,959.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.