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Finding the Third Proportional to 351.42 and 735.96

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Solution

The third proportional to 351.42 and 735.96 is: 1,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 735.96 = 735.96 : x
  2. Step 2: Convert to fraction form
    351.42/735.96 = 735.96/x
  3. Step 3: Cross multiply
    351.42x = 735.96 × 735.96
  4. Step 4: Simplify right side
    351.42x = 541,638.50
  5. Step 5: Solve for x
    x = 541,638.50/351.42
  6. Step 6: Final answer
    x = 1,541.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.