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Finding the Third Proportional to 311,496 and 677,676

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Solution

The third proportional to 311,496 and 677,676 is: 1,474,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,496 : 677,676 = 677,676 : x
  2. Step 2: Convert to fraction form
    311,496/677,676 = 677,676/x
  3. Step 3: Cross multiply
    311,496x = 677,676 × 677,676
  4. Step 4: Simplify right side
    311,496x = 459,244,760,976
  5. Step 5: Solve for x
    x = 459,244,760,976/311,496
  6. Step 6: Final answer
    x = 1,474,319.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.