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Finding the Third Proportional to 388,520 and 796,299

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Solution

The third proportional to 388,520 and 796,299 is: 1,632,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,520 : 796,299 = 796,299 : x
  2. Step 2: Convert to fraction form
    388,520/796,299 = 796,299/x
  3. Step 3: Cross multiply
    388,520x = 796,299 × 796,299
  4. Step 4: Simplify right side
    388,520x = 634,092,097,401
  5. Step 5: Solve for x
    x = 634,092,097,401/388,520
  6. Step 6: Final answer
    x = 1,632,070.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.