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Finding the Third Proportional to 214,764.75 and 444,393

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Solution

The third proportional to 214,764.75 and 444,393 is: 919,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,764.75 : 444,393 = 444,393 : x
  2. Step 2: Convert to fraction form
    214,764.75/444,393 = 444,393/x
  3. Step 3: Cross multiply
    214,764.75x = 444,393 × 444,393
  4. Step 4: Simplify right side
    214,764.75x = 197,485,138,449
  5. Step 5: Solve for x
    x = 197,485,138,449/214,764.75
  6. Step 6: Final answer
    x = 919,541.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.