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Finding the Third Proportional to 328,958 and 683,771

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Solution

The third proportional to 328,958 and 683,771 is: 1,421,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,958 : 683,771 = 683,771 : x
  2. Step 2: Convert to fraction form
    328,958/683,771 = 683,771/x
  3. Step 3: Cross multiply
    328,958x = 683,771 × 683,771
  4. Step 4: Simplify right side
    328,958x = 467,542,780,441
  5. Step 5: Solve for x
    x = 467,542,780,441/328,958
  6. Step 6: Final answer
    x = 1,421,284.12

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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.