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Finding the Third Proportional to 197,999.44 and 426,783.94

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Solution

The third proportional to 197,999.44 and 426,783.94 is: 919,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,999.44 : 426,783.94 = 426,783.94 : x
  2. Step 2: Convert to fraction form
    197,999.44/426,783.94 = 426,783.94/x
  3. Step 3: Cross multiply
    197,999.44x = 426,783.94 × 426,783.94
  4. Step 4: Simplify right side
    197,999.44x = 182,144,529,308.00
  5. Step 5: Solve for x
    x = 182,144,529,308.00/197,999.44
  6. Step 6: Final answer
    x = 919,924.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.