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Finding the Third Proportional to 218,760 and 467,852

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Solution

The third proportional to 218,760 and 467,852 is: 1,000,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,760 : 467,852 = 467,852 : x
  2. Step 2: Convert to fraction form
    218,760/467,852 = 467,852/x
  3. Step 3: Cross multiply
    218,760x = 467,852 × 467,852
  4. Step 4: Simplify right side
    218,760x = 218,885,493,904
  5. Step 5: Solve for x
    x = 218,885,493,904/218,760
  6. Step 6: Final answer
    x = 1,000,573.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.