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Finding the Third Proportional to 462 and 629

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Solution

The third proportional to 462 and 629 is: 856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 629 = 629 : x
  2. Step 2: Convert to fraction form
    462/629 = 629/x
  3. Step 3: Cross multiply
    462x = 629 × 629
  4. Step 4: Simplify right side
    462x = 395,641
  5. Step 5: Solve for x
    x = 395,641/462
  6. Step 6: Final answer
    x = 856.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.