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Finding the Third Proportional to 597.97 and 1,268.33

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Solution

The third proportional to 597.97 and 1,268.33 is: 2,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 1,268.33 = 1,268.33 : x
  2. Step 2: Convert to fraction form
    597.97/1,268.33 = 1,268.33/x
  3. Step 3: Cross multiply
    597.97x = 1,268.33 × 1,268.33
  4. Step 4: Simplify right side
    597.97x = 1,608,666.14
  5. Step 5: Solve for x
    x = 1,608,666.14/597.97
  6. Step 6: Final answer
    x = 2,690.20

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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.