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Finding the Third Proportional to 735.41 and 1,028.60

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Solution

The third proportional to 735.41 and 1,028.60 is: 1,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.41 : 1,028.60 = 1,028.60 : x
  2. Step 2: Convert to fraction form
    735.41/1,028.60 = 1,028.60/x
  3. Step 3: Cross multiply
    735.41x = 1,028.60 × 1,028.60
  4. Step 4: Simplify right side
    735.41x = 1,058,012.13
  5. Step 5: Solve for x
    x = 1,058,012.13/735.41
  6. Step 6: Final answer
    x = 1,438.68

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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.