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Finding the Third Proportional to 524,325 and 789,082.50

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Solution

The third proportional to 524,325 and 789,082.50 is: 1,187,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,325 : 789,082.50 = 789,082.50 : x
  2. Step 2: Convert to fraction form
    524,325/789,082.50 = 789,082.50/x
  3. Step 3: Cross multiply
    524,325x = 789,082.50 × 789,082.50
  4. Step 4: Simplify right side
    524,325x = 622,651,191,806.25
  5. Step 5: Solve for x
    x = 622,651,191,806.25/524,325
  6. Step 6: Final answer
    x = 1,187,529.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.