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Finding the Third Proportional to 362,313 and 796,311

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Solution

The third proportional to 362,313 and 796,311 is: 1,750,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,313 : 796,311 = 796,311 : x
  2. Step 2: Convert to fraction form
    362,313/796,311 = 796,311/x
  3. Step 3: Cross multiply
    362,313x = 796,311 × 796,311
  4. Step 4: Simplify right side
    362,313x = 634,111,208,721
  5. Step 5: Solve for x
    x = 634,111,208,721/362,313
  6. Step 6: Final answer
    x = 1,750,175.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.