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Finding the Third Proportional to 197,048 and 427,024

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Solution

The third proportional to 197,048 and 427,024 is: 925,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,048 : 427,024 = 427,024 : x
  2. Step 2: Convert to fraction form
    197,048/427,024 = 427,024/x
  3. Step 3: Cross multiply
    197,048x = 427,024 × 427,024
  4. Step 4: Simplify right side
    197,048x = 182,349,496,576
  5. Step 5: Solve for x
    x = 182,349,496,576/197,048
  6. Step 6: Final answer
    x = 925,406.48

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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.