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Finding the Third Proportional to 451.41 and 938.60

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Solution

The third proportional to 451.41 and 938.60 is: 1,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 938.60 = 938.60 : x
  2. Step 2: Convert to fraction form
    451.41/938.60 = 938.60/x
  3. Step 3: Cross multiply
    451.41x = 938.60 × 938.60
  4. Step 4: Simplify right side
    451.41x = 880,972.89
  5. Step 5: Solve for x
    x = 880,972.89/451.41
  6. Step 6: Final answer
    x = 1,951.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.