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Finding the Third Proportional to 393,462 and 814,906.50

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Solution

The third proportional to 393,462 and 814,906.50 is: 1,687,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,462 : 814,906.50 = 814,906.50 : x
  2. Step 2: Convert to fraction form
    393,462/814,906.50 = 814,906.50/x
  3. Step 3: Cross multiply
    393,462x = 814,906.50 × 814,906.50
  4. Step 4: Simplify right side
    393,462x = 664,072,603,742.25
  5. Step 5: Solve for x
    x = 664,072,603,742.25/393,462
  6. Step 6: Final answer
    x = 1,687,768.08

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.