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Finding the Third Proportional to 1,603.44 and 2,398.72

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Solution

The third proportional to 1,603.44 and 2,398.72 is: 3,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.44 : 2,398.72 = 2,398.72 : x
  2. Step 2: Convert to fraction form
    1,603.44/2,398.72 = 2,398.72/x
  3. Step 3: Cross multiply
    1,603.44x = 2,398.72 × 2,398.72
  4. Step 4: Simplify right side
    1,603.44x = 5,753,851.64
  5. Step 5: Solve for x
    x = 5,753,851.64/1,603.44
  6. Step 6: Final answer
    x = 3,588.45

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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.