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Finding the Third Proportional to 215,536 and 467,936

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Solution

The third proportional to 215,536 and 467,936 is: 1,015,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,536 : 467,936 = 467,936 : x
  2. Step 2: Convert to fraction form
    215,536/467,936 = 467,936/x
  3. Step 3: Cross multiply
    215,536x = 467,936 × 467,936
  4. Step 4: Simplify right side
    215,536x = 218,964,100,096
  5. Step 5: Solve for x
    x = 218,964,100,096/215,536
  6. Step 6: Final answer
    x = 1,015,905.00

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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.