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Finding the Third Proportional to 370,608.75 and 809,183.25

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Solution

The third proportional to 370,608.75 and 809,183.25 is: 1,766,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,608.75 : 809,183.25 = 809,183.25 : x
  2. Step 2: Convert to fraction form
    370,608.75/809,183.25 = 809,183.25/x
  3. Step 3: Cross multiply
    370,608.75x = 809,183.25 × 809,183.25
  4. Step 4: Simplify right side
    370,608.75x = 654,777,532,080.56
  5. Step 5: Solve for x
    x = 654,777,532,080.56/370,608.75
  6. Step 6: Final answer
    x = 1,766,762.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.