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Finding the Third Proportional to 312.56 and 739.78

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Solution

The third proportional to 312.56 and 739.78 is: 1,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 739.78 = 739.78 : x
  2. Step 2: Convert to fraction form
    312.56/739.78 = 739.78/x
  3. Step 3: Cross multiply
    312.56x = 739.78 × 739.78
  4. Step 4: Simplify right side
    312.56x = 547,276.30
  5. Step 5: Solve for x
    x = 547,276.30/312.56
  6. Step 6: Final answer
    x = 1,750.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.