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Finding the Third Proportional to 264,647 and 515,930

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Solution

The third proportional to 264,647 and 515,930 is: 1,005,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,647 : 515,930 = 515,930 : x
  2. Step 2: Convert to fraction form
    264,647/515,930 = 515,930/x
  3. Step 3: Cross multiply
    264,647x = 515,930 × 515,930
  4. Step 4: Simplify right side
    264,647x = 266,183,764,900
  5. Step 5: Solve for x
    x = 266,183,764,900/264,647
  6. Step 6: Final answer
    x = 1,005,806.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.