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Finding the Third Proportional to 367,617 and 796,305

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Solution

The third proportional to 367,617 and 796,305 is: 1,724,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,617 : 796,305 = 796,305 : x
  2. Step 2: Convert to fraction form
    367,617/796,305 = 796,305/x
  3. Step 3: Cross multiply
    367,617x = 796,305 × 796,305
  4. Step 4: Simplify right side
    367,617x = 634,101,653,025
  5. Step 5: Solve for x
    x = 634,101,653,025/367,617
  6. Step 6: Final answer
    x = 1,724,897.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.