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Finding the Third Proportional to 208,738 and 446,990

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Solution

The third proportional to 208,738 and 446,990 is: 957,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,738 : 446,990 = 446,990 : x
  2. Step 2: Convert to fraction form
    208,738/446,990 = 446,990/x
  3. Step 3: Cross multiply
    208,738x = 446,990 × 446,990
  4. Step 4: Simplify right side
    208,738x = 199,800,060,100
  5. Step 5: Solve for x
    x = 199,800,060,100/208,738
  6. Step 6: Final answer
    x = 957,181.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.