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Finding the Third Proportional to 1,597.25 and 2,398.25

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Solution

The third proportional to 1,597.25 and 2,398.25 is: 3,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.25 : 2,398.25 = 2,398.25 : x
  2. Step 2: Convert to fraction form
    1,597.25/2,398.25 = 2,398.25/x
  3. Step 3: Cross multiply
    1,597.25x = 2,398.25 × 2,398.25
  4. Step 4: Simplify right side
    1,597.25x = 5,751,603.06
  5. Step 5: Solve for x
    x = 5,751,603.06/1,597.25
  6. Step 6: Final answer
    x = 3,600.94

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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.