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Finding the Third Proportional to 322,764 and 683,922

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Solution

The third proportional to 322,764 and 683,922 is: 1,449,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,764 : 683,922 = 683,922 : x
  2. Step 2: Convert to fraction form
    322,764/683,922 = 683,922/x
  3. Step 3: Cross multiply
    322,764x = 683,922 × 683,922
  4. Step 4: Simplify right side
    322,764x = 467,749,302,084
  5. Step 5: Solve for x
    x = 467,749,302,084/322,764
  6. Step 6: Final answer
    x = 1,449,199.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.