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Finding the Third Proportional to 208,719 and 446,951.25

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Solution

The third proportional to 208,719 and 446,951.25 is: 957,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,719 : 446,951.25 = 446,951.25 : x
  2. Step 2: Convert to fraction form
    208,719/446,951.25 = 446,951.25/x
  3. Step 3: Cross multiply
    208,719x = 446,951.25 × 446,951.25
  4. Step 4: Simplify right side
    208,719x = 199,765,419,876.56
  5. Step 5: Solve for x
    x = 199,765,419,876.56/208,719
  6. Step 6: Final answer
    x = 957,102.23

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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.