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Finding the Third Proportional to 735.54 and 1,030.85

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Solution

The third proportional to 735.54 and 1,030.85 is: 1,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.54 : 1,030.85 = 1,030.85 : x
  2. Step 2: Convert to fraction form
    735.54/1,030.85 = 1,030.85/x
  3. Step 3: Cross multiply
    735.54x = 1,030.85 × 1,030.85
  4. Step 4: Simplify right side
    735.54x = 1,062,654.94
  5. Step 5: Solve for x
    x = 1,062,654.94/735.54
  6. Step 6: Final answer
    x = 1,444.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.