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Finding the Third Proportional to 879.56 and 1,373.44

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Solution

The third proportional to 879.56 and 1,373.44 is: 2,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.56 : 1,373.44 = 1,373.44 : x
  2. Step 2: Convert to fraction form
    879.56/1,373.44 = 1,373.44/x
  3. Step 3: Cross multiply
    879.56x = 1,373.44 × 1,373.44
  4. Step 4: Simplify right side
    879.56x = 1,886,330.57
  5. Step 5: Solve for x
    x = 1,886,330.57/879.56
  6. Step 6: Final answer
    x = 2,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.