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Finding the Third Proportional to 735.96 and 1,110.59

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Solution

The third proportional to 735.96 and 1,110.59 is: 1,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.96 : 1,110.59 = 1,110.59 : x
  2. Step 2: Convert to fraction form
    735.96/1,110.59 = 1,110.59/x
  3. Step 3: Cross multiply
    735.96x = 1,110.59 × 1,110.59
  4. Step 4: Simplify right side
    735.96x = 1,233,401.12
  5. Step 5: Solve for x
    x = 1,233,401.12/735.96
  6. Step 6: Final answer
    x = 1,675.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.