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Finding the Third Proportional to 395.13 and 620.69

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Solution

The third proportional to 395.13 and 620.69 is: 975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.13 : 620.69 = 620.69 : x
  2. Step 2: Convert to fraction form
    395.13/620.69 = 620.69/x
  3. Step 3: Cross multiply
    395.13x = 620.69 × 620.69
  4. Step 4: Simplify right side
    395.13x = 385,252.97
  5. Step 5: Solve for x
    x = 385,252.97/395.13
  6. Step 6: Final answer
    x = 975.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.