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Finding the Third Proportional to 311,568 and 675,624

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Solution

The third proportional to 311,568 and 675,624 is: 1,465,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,568 : 675,624 = 675,624 : x
  2. Step 2: Convert to fraction form
    311,568/675,624 = 675,624/x
  3. Step 3: Cross multiply
    311,568x = 675,624 × 675,624
  4. Step 4: Simplify right side
    311,568x = 456,467,789,376
  5. Step 5: Solve for x
    x = 456,467,789,376/311,568
  6. Step 6: Final answer
    x = 1,465,066.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.