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Finding the Third Proportional to 493,219.13 and 743,087.25

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Solution

The third proportional to 493,219.13 and 743,087.25 is: 1,119,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,219.13 : 743,087.25 = 743,087.25 : x
  2. Step 2: Convert to fraction form
    493,219.13/743,087.25 = 743,087.25/x
  3. Step 3: Cross multiply
    493,219.13x = 743,087.25 × 743,087.25
  4. Step 4: Simplify right side
    493,219.13x = 552,178,661,112.56
  5. Step 5: Solve for x
    x = 552,178,661,112.56/493,219.13
  6. Step 6: Final answer
    x = 1,119,540.25

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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.