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Finding the Third Proportional to 295.59 and 629.93

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Solution

The third proportional to 295.59 and 629.93 is: 1,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 629.93 = 629.93 : x
  2. Step 2: Convert to fraction form
    295.59/629.93 = 629.93/x
  3. Step 3: Cross multiply
    295.59x = 629.93 × 629.93
  4. Step 4: Simplify right side
    295.59x = 396,811.41
  5. Step 5: Solve for x
    x = 396,811.41/295.59
  6. Step 6: Final answer
    x = 1,342.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.