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Finding the Third Proportional to 335.07 and 735.64

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Solution

The third proportional to 335.07 and 735.64 is: 1,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 735.64 = 735.64 : x
  2. Step 2: Convert to fraction form
    335.07/735.64 = 735.64/x
  3. Step 3: Cross multiply
    335.07x = 735.64 × 735.64
  4. Step 4: Simplify right side
    335.07x = 541,172.88
  5. Step 5: Solve for x
    x = 541,172.88/335.07
  6. Step 6: Final answer
    x = 1,615.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.