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Finding the Third Proportional to 328,984.50 and 683,818.50

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Solution

The third proportional to 328,984.50 and 683,818.50 is: 1,421,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,984.50 : 683,818.50 = 683,818.50 : x
  2. Step 2: Convert to fraction form
    328,984.50/683,818.50 = 683,818.50/x
  3. Step 3: Cross multiply
    328,984.50x = 683,818.50 × 683,818.50
  4. Step 4: Simplify right side
    328,984.50x = 467,607,740,942.25
  5. Step 5: Solve for x
    x = 467,607,740,942.25/328,984.50
  6. Step 6: Final answer
    x = 1,421,367.09

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