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Finding the Third Proportional to 322,168 and 690,992

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Solution

The third proportional to 322,168 and 690,992 is: 1,482,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,168 : 690,992 = 690,992 : x
  2. Step 2: Convert to fraction form
    322,168/690,992 = 690,992/x
  3. Step 3: Cross multiply
    322,168x = 690,992 × 690,992
  4. Step 4: Simplify right side
    322,168x = 477,469,944,064
  5. Step 5: Solve for x
    x = 477,469,944,064/322,168
  6. Step 6: Final answer
    x = 1,482,052.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.