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Finding the Third Proportional to 264,410.25 and 397,200.75

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Solution

The third proportional to 264,410.25 and 397,200.75 is: 596,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,410.25 : 397,200.75 = 397,200.75 : x
  2. Step 2: Convert to fraction form
    264,410.25/397,200.75 = 397,200.75/x
  3. Step 3: Cross multiply
    264,410.25x = 397,200.75 × 397,200.75
  4. Step 4: Simplify right side
    264,410.25x = 157,768,435,800.56
  5. Step 5: Solve for x
    x = 157,768,435,800.56/264,410.25
  6. Step 6: Final answer
    x = 596,680.48

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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.