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Finding the Third Proportional to 264,162 and 515,088

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Solution

The third proportional to 264,162 and 515,088 is: 1,004,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,162 : 515,088 = 515,088 : x
  2. Step 2: Convert to fraction form
    264,162/515,088 = 515,088/x
  3. Step 3: Cross multiply
    264,162x = 515,088 × 515,088
  4. Step 4: Simplify right side
    264,162x = 265,315,647,744
  5. Step 5: Solve for x
    x = 265,315,647,744/264,162
  6. Step 6: Final answer
    x = 1,004,367.20

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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.