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Finding the Third Proportional to 493,216.50 and 743,082.75

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Solution

The third proportional to 493,216.50 and 743,082.75 is: 1,119,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,216.50 : 743,082.75 = 743,082.75 : x
  2. Step 2: Convert to fraction form
    493,216.50/743,082.75 = 743,082.75/x
  3. Step 3: Cross multiply
    493,216.50x = 743,082.75 × 743,082.75
  4. Step 4: Simplify right side
    493,216.50x = 552,171,973,347.56
  5. Step 5: Solve for x
    x = 552,171,973,347.56/493,216.50
  6. Step 6: Final answer
    x = 1,119,532.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.