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Finding the Third Proportional to 214,939 and 467,205

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Solution

The third proportional to 214,939 and 467,205 is: 1,015,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,939 : 467,205 = 467,205 : x
  2. Step 2: Convert to fraction form
    214,939/467,205 = 467,205/x
  3. Step 3: Cross multiply
    214,939x = 467,205 × 467,205
  4. Step 4: Simplify right side
    214,939x = 218,280,512,025
  5. Step 5: Solve for x
    x = 218,280,512,025/214,939
  6. Step 6: Final answer
    x = 1,015,546.33

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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.