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Finding the Third Proportional to 264,493.69 and 397,333.69

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Solution

The third proportional to 264,493.69 and 397,333.69 is: 596,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,493.69 : 397,333.69 = 397,333.69 : x
  2. Step 2: Convert to fraction form
    264,493.69/397,333.69 = 397,333.69/x
  3. Step 3: Cross multiply
    264,493.69x = 397,333.69 × 397,333.69
  4. Step 4: Simplify right side
    264,493.69x = 157,874,059,222.35
  5. Step 5: Solve for x
    x = 157,874,059,222.35/264,493.69
  6. Step 6: Final answer
    x = 596,891.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.