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Finding the Third Proportional to 197,874 and 434,952

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Solution

The third proportional to 197,874 and 434,952 is: 956,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,874 : 434,952 = 434,952 : x
  2. Step 2: Convert to fraction form
    197,874/434,952 = 434,952/x
  3. Step 3: Cross multiply
    197,874x = 434,952 × 434,952
  4. Step 4: Simplify right side
    197,874x = 189,183,242,304
  5. Step 5: Solve for x
    x = 189,183,242,304/197,874
  6. Step 6: Final answer
    x = 956,079.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.