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Finding the Third Proportional to 362,236 and 796,184

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Solution

The third proportional to 362,236 and 796,184 is: 1,749,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,236 : 796,184 = 796,184 : x
  2. Step 2: Convert to fraction form
    362,236/796,184 = 796,184/x
  3. Step 3: Cross multiply
    362,236x = 796,184 × 796,184
  4. Step 4: Simplify right side
    362,236x = 633,908,961,856
  5. Step 5: Solve for x
    x = 633,908,961,856/362,236
  6. Step 6: Final answer
    x = 1,749,988.85

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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.