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Finding the Third Proportional to 335.81 and 735.33

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Solution

The third proportional to 335.81 and 735.33 is: 1,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.81 : 735.33 = 735.33 : x
  2. Step 2: Convert to fraction form
    335.81/735.33 = 735.33/x
  3. Step 3: Cross multiply
    335.81x = 735.33 × 735.33
  4. Step 4: Simplify right side
    335.81x = 540,707.45
  5. Step 5: Solve for x
    x = 540,707.45/335.81
  6. Step 6: Final answer
    x = 1,610.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.