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Finding the Third Proportional to 264,493.69 and 397,340.44

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Solution

The third proportional to 264,493.69 and 397,340.44 is: 596,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,493.69 : 397,340.44 = 397,340.44 : x
  2. Step 2: Convert to fraction form
    264,493.69/397,340.44 = 397,340.44/x
  3. Step 3: Cross multiply
    264,493.69x = 397,340.44 × 397,340.44
  4. Step 4: Simplify right side
    264,493.69x = 157,879,423,272.69
  5. Step 5: Solve for x
    x = 157,879,423,272.69/264,493.69
  6. Step 6: Final answer
    x = 596,911.88

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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.