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Finding the Third Proportional to 598.32 and 1,268.79

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Solution

The third proportional to 598.32 and 1,268.79 is: 2,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.32 : 1,268.79 = 1,268.79 : x
  2. Step 2: Convert to fraction form
    598.32/1,268.79 = 1,268.79/x
  3. Step 3: Cross multiply
    598.32x = 1,268.79 × 1,268.79
  4. Step 4: Simplify right side
    598.32x = 1,609,825.69
  5. Step 5: Solve for x
    x = 1,609,825.69/598.32
  6. Step 6: Final answer
    x = 2,690.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.