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Finding the Third Proportional to 329,020 and 683,876

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Solution

The third proportional to 329,020 and 683,876 is: 1,421,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,020 : 683,876 = 683,876 : x
  2. Step 2: Convert to fraction form
    329,020/683,876 = 683,876/x
  3. Step 3: Cross multiply
    329,020x = 683,876 × 683,876
  4. Step 4: Simplify right side
    329,020x = 467,686,383,376
  5. Step 5: Solve for x
    x = 467,686,383,376/329,020
  6. Step 6: Final answer
    x = 1,421,452.75

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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.