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Finding the Third Proportional to 197,852 and 466,583

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Solution

The third proportional to 197,852 and 466,583 is: 1,100,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,852 : 466,583 = 466,583 : x
  2. Step 2: Convert to fraction form
    197,852/466,583 = 466,583/x
  3. Step 3: Cross multiply
    197,852x = 466,583 × 466,583
  4. Step 4: Simplify right side
    197,852x = 217,699,695,889
  5. Step 5: Solve for x
    x = 217,699,695,889/197,852
  6. Step 6: Final answer
    x = 1,100,315.87

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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.