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Finding the Third Proportional to 328,975.50 and 683,799

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Solution

The third proportional to 328,975.50 and 683,799 is: 1,421,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,975.50 : 683,799 = 683,799 : x
  2. Step 2: Convert to fraction form
    328,975.50/683,799 = 683,799/x
  3. Step 3: Cross multiply
    328,975.50x = 683,799 × 683,799
  4. Step 4: Simplify right side
    328,975.50x = 467,581,072,401
  5. Step 5: Solve for x
    x = 467,581,072,401/328,975.50
  6. Step 6: Final answer
    x = 1,421,324.91

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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.