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Finding the Third Proportional to 745.03 and 1,116.28

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Solution

The third proportional to 745.03 and 1,116.28 is: 1,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.03 : 1,116.28 = 1,116.28 : x
  2. Step 2: Convert to fraction form
    745.03/1,116.28 = 1,116.28/x
  3. Step 3: Cross multiply
    745.03x = 1,116.28 × 1,116.28
  4. Step 4: Simplify right side
    745.03x = 1,246,083.83
  5. Step 5: Solve for x
    x = 1,246,083.83/745.03
  6. Step 6: Final answer
    x = 1,672.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.