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Finding the Third Proportional to 328,981.50 and 683,812.13

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Solution

The third proportional to 328,981.50 and 683,812.13 is: 1,421,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,981.50 : 683,812.13 = 683,812.13 : x
  2. Step 2: Convert to fraction form
    328,981.50/683,812.13 = 683,812.13/x
  3. Step 3: Cross multiply
    328,981.50x = 683,812.13 × 683,812.13
  4. Step 4: Simplify right side
    328,981.50x = 467,599,022,297.02
  5. Step 5: Solve for x
    x = 467,599,022,297.02/328,981.50
  6. Step 6: Final answer
    x = 1,421,353.55

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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.