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Finding the Third Proportional to 420 and 629.25

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Solution

The third proportional to 420 and 629.25 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 629.25 = 629.25 : x
  2. Step 2: Convert to fraction form
    420/629.25 = 629.25/x
  3. Step 3: Cross multiply
    420x = 629.25 × 629.25
  4. Step 4: Simplify right side
    420x = 395,955.56
  5. Step 5: Solve for x
    x = 395,955.56/420
  6. Step 6: Final answer
    x = 942.75

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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.