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Finding the Third Proportional to 197,944 and 415,324

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Solution

The third proportional to 197,944 and 415,324 is: 871,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,944 : 415,324 = 415,324 : x
  2. Step 2: Convert to fraction form
    197,944/415,324 = 415,324/x
  3. Step 3: Cross multiply
    197,944x = 415,324 × 415,324
  4. Step 4: Simplify right side
    197,944x = 172,494,024,976
  5. Step 5: Solve for x
    x = 172,494,024,976/197,944
  6. Step 6: Final answer
    x = 871,428.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.