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Finding the Third Proportional to 329,022 and 683,880

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Solution

The third proportional to 329,022 and 683,880 is: 1,421,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,022 : 683,880 = 683,880 : x
  2. Step 2: Convert to fraction form
    329,022/683,880 = 683,880/x
  3. Step 3: Cross multiply
    329,022x = 683,880 × 683,880
  4. Step 4: Simplify right side
    329,022x = 467,691,854,400
  5. Step 5: Solve for x
    x = 467,691,854,400/329,022
  6. Step 6: Final answer
    x = 1,421,460.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.