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Finding the Third Proportional to 322,286 and 691,202

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Solution

The third proportional to 322,286 and 691,202 is: 1,482,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,286 : 691,202 = 691,202 : x
  2. Step 2: Convert to fraction form
    322,286/691,202 = 691,202/x
  3. Step 3: Cross multiply
    322,286x = 691,202 × 691,202
  4. Step 4: Simplify right side
    322,286x = 477,760,204,804
  5. Step 5: Solve for x
    x = 477,760,204,804/322,286
  6. Step 6: Final answer
    x = 1,482,410.67

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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.