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Finding the Third Proportional to 634.39 and 1,468.55

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Solution

The third proportional to 634.39 and 1,468.55 is: 3,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.39 : 1,468.55 = 1,468.55 : x
  2. Step 2: Convert to fraction form
    634.39/1,468.55 = 1,468.55/x
  3. Step 3: Cross multiply
    634.39x = 1,468.55 × 1,468.55
  4. Step 4: Simplify right side
    634.39x = 2,156,629.92
  5. Step 5: Solve for x
    x = 2,156,629.92/634.39
  6. Step 6: Final answer
    x = 3,399.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.