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Finding the Third Proportional to 311,162 and 480,563

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Solution

The third proportional to 311,162 and 480,563 is: 742,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,162 : 480,563 = 480,563 : x
  2. Step 2: Convert to fraction form
    311,162/480,563 = 480,563/x
  3. Step 3: Cross multiply
    311,162x = 480,563 × 480,563
  4. Step 4: Simplify right side
    311,162x = 230,940,796,969
  5. Step 5: Solve for x
    x = 230,940,796,969/311,162
  6. Step 6: Final answer
    x = 742,188.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.