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Finding the Third Proportional to 312,027 and 638,838

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Solution

The third proportional to 312,027 and 638,838 is: 1,307,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,027 : 638,838 = 638,838 : x
  2. Step 2: Convert to fraction form
    312,027/638,838 = 638,838/x
  3. Step 3: Cross multiply
    312,027x = 638,838 × 638,838
  4. Step 4: Simplify right side
    312,027x = 408,113,990,244
  5. Step 5: Solve for x
    x = 408,113,990,244/312,027
  6. Step 6: Final answer
    x = 1,307,944.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.