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Finding the Third Proportional to 1,464.42 and 2,198.53

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Solution

The third proportional to 1,464.42 and 2,198.53 is: 3,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.42 : 2,198.53 = 2,198.53 : x
  2. Step 2: Convert to fraction form
    1,464.42/2,198.53 = 2,198.53/x
  3. Step 3: Cross multiply
    1,464.42x = 2,198.53 × 2,198.53
  4. Step 4: Simplify right side
    1,464.42x = 4,833,539.66
  5. Step 5: Solve for x
    x = 4,833,539.66/1,464.42
  6. Step 6: Final answer
    x = 3,300.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.