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Finding the Third Proportional to 328,941 and 683,737.88

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Solution

The third proportional to 328,941 and 683,737.88 is: 1,421,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,941 : 683,737.88 = 683,737.88 : x
  2. Step 2: Convert to fraction form
    328,941/683,737.88 = 683,737.88/x
  3. Step 3: Cross multiply
    328,941x = 683,737.88 × 683,737.88
  4. Step 4: Simplify right side
    328,941x = 467,497,481,709.52
  5. Step 5: Solve for x
    x = 467,497,481,709.52/328,941
  6. Step 6: Final answer
    x = 1,421,219.86

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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.