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Finding the Third Proportional to 831,667.50 and 1,158,745.50

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Solution

The third proportional to 831,667.50 and 1,158,745.50 is: 1,614,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,667.50 : 1,158,745.50 = 1,158,745.50 : x
  2. Step 2: Convert to fraction form
    831,667.50/1,158,745.50 = 1,158,745.50/x
  3. Step 3: Cross multiply
    831,667.50x = 1,158,745.50 × 1,158,745.50
  4. Step 4: Simplify right side
    831,667.50x = 1,342,691,133,770.25
  5. Step 5: Solve for x
    x = 1,342,691,133,770.25/831,667.50
  6. Step 6: Final answer
    x = 1,614,456.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.