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Finding the Third Proportional to 214,857 and 467,946

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Solution

The third proportional to 214,857 and 467,946 is: 1,019,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,857 : 467,946 = 467,946 : x
  2. Step 2: Convert to fraction form
    214,857/467,946 = 467,946/x
  3. Step 3: Cross multiply
    214,857x = 467,946 × 467,946
  4. Step 4: Simplify right side
    214,857x = 218,973,458,916
  5. Step 5: Solve for x
    x = 218,973,458,916/214,857
  6. Step 6: Final answer
    x = 1,019,159.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.