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Finding the Third Proportional to 291.94 and 437.91

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Solution

The third proportional to 291.94 and 437.91 is: 656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 437.91 = 437.91 : x
  2. Step 2: Convert to fraction form
    291.94/437.91 = 437.91/x
  3. Step 3: Cross multiply
    291.94x = 437.91 × 437.91
  4. Step 4: Simplify right side
    291.94x = 191,761.88
  5. Step 5: Solve for x
    x = 191,761.88/291.94
  6. Step 6: Final answer
    x = 656.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.