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Finding the Third Proportional to 415.44 and 873.94

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Solution

The third proportional to 415.44 and 873.94 is: 1,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 873.94 = 873.94 : x
  2. Step 2: Convert to fraction form
    415.44/873.94 = 873.94/x
  3. Step 3: Cross multiply
    415.44x = 873.94 × 873.94
  4. Step 4: Simplify right side
    415.44x = 763,766.75
  5. Step 5: Solve for x
    x = 763,766.75/415.44
  6. Step 6: Final answer
    x = 1,838.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.