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Finding the Third Proportional to 197,504 and 424,978

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Solution

The third proportional to 197,504 and 424,978 is: 914,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,504 : 424,978 = 424,978 : x
  2. Step 2: Convert to fraction form
    197,504/424,978 = 424,978/x
  3. Step 3: Cross multiply
    197,504x = 424,978 × 424,978
  4. Step 4: Simplify right side
    197,504x = 180,606,300,484
  5. Step 5: Solve for x
    x = 180,606,300,484/197,504
  6. Step 6: Final answer
    x = 914,443.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.