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Finding the Third Proportional to 662.53 and 1,434.19

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Solution

The third proportional to 662.53 and 1,434.19 is: 3,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.53 : 1,434.19 = 1,434.19 : x
  2. Step 2: Convert to fraction form
    662.53/1,434.19 = 1,434.19/x
  3. Step 3: Cross multiply
    662.53x = 1,434.19 × 1,434.19
  4. Step 4: Simplify right side
    662.53x = 2,056,893.79
  5. Step 5: Solve for x
    x = 2,056,893.79/662.53
  6. Step 6: Final answer
    x = 3,104.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.