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Finding the Third Proportional to 208,728 and 446,971.50

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Solution

The third proportional to 208,728 and 446,971.50 is: 957,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,728 : 446,971.50 = 446,971.50 : x
  2. Step 2: Convert to fraction form
    208,728/446,971.50 = 446,971.50/x
  3. Step 3: Cross multiply
    208,728x = 446,971.50 × 446,971.50
  4. Step 4: Simplify right side
    208,728x = 199,783,521,812.25
  5. Step 5: Solve for x
    x = 199,783,521,812.25/208,728
  6. Step 6: Final answer
    x = 957,147.68

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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.