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Finding the Third Proportional to 662 and 1,434

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Solution

The third proportional to 662 and 1,434 is: 3,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662 : 1,434 = 1,434 : x
  2. Step 2: Convert to fraction form
    662/1,434 = 1,434/x
  3. Step 3: Cross multiply
    662x = 1,434 × 1,434
  4. Step 4: Simplify right side
    662x = 2,056,356
  5. Step 5: Solve for x
    x = 2,056,356/662
  6. Step 6: Final answer
    x = 3,106.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.