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Finding the Third Proportional to 734.06 and 1,138.64

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Solution

The third proportional to 734.06 and 1,138.64 is: 1,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.06 : 1,138.64 = 1,138.64 : x
  2. Step 2: Convert to fraction form
    734.06/1,138.64 = 1,138.64/x
  3. Step 3: Cross multiply
    734.06x = 1,138.64 × 1,138.64
  4. Step 4: Simplify right side
    734.06x = 1,296,502.47
  5. Step 5: Solve for x
    x = 1,296,502.47/734.06
  6. Step 6: Final answer
    x = 1,766.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.