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Finding the Third Proportional to 197,682 and 466,428.75

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Solution

The third proportional to 197,682 and 466,428.75 is: 1,100,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,682 : 466,428.75 = 466,428.75 : x
  2. Step 2: Convert to fraction form
    197,682/466,428.75 = 466,428.75/x
  3. Step 3: Cross multiply
    197,682x = 466,428.75 × 466,428.75
  4. Step 4: Simplify right side
    197,682x = 217,555,778,826.56
  5. Step 5: Solve for x
    x = 217,555,778,826.56/197,682
  6. Step 6: Final answer
    x = 1,100,534.08

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.