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Finding the Third Proportional to 368,856 and 751,236

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Solution

The third proportional to 368,856 and 751,236 is: 1,530,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,856 : 751,236 = 751,236 : x
  2. Step 2: Convert to fraction form
    368,856/751,236 = 751,236/x
  3. Step 3: Cross multiply
    368,856x = 751,236 × 751,236
  4. Step 4: Simplify right side
    368,856x = 564,355,527,696
  5. Step 5: Solve for x
    x = 564,355,527,696/368,856
  6. Step 6: Final answer
    x = 1,530,015.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.