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Finding the Third Proportional to 368,163 and 759,816

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Solution

The third proportional to 368,163 and 759,816 is: 1,568,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,163 : 759,816 = 759,816 : x
  2. Step 2: Convert to fraction form
    368,163/759,816 = 759,816/x
  3. Step 3: Cross multiply
    368,163x = 759,816 × 759,816
  4. Step 4: Simplify right side
    368,163x = 577,320,353,856
  5. Step 5: Solve for x
    x = 577,320,353,856/368,163
  6. Step 6: Final answer
    x = 1,568,110.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.