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Finding the Third Proportional to 395.38 and 621.06

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Solution

The third proportional to 395.38 and 621.06 is: 975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.38 : 621.06 = 621.06 : x
  2. Step 2: Convert to fraction form
    395.38/621.06 = 621.06/x
  3. Step 3: Cross multiply
    395.38x = 621.06 × 621.06
  4. Step 4: Simplify right side
    395.38x = 385,718.63
  5. Step 5: Solve for x
    x = 385,718.63/395.38
  6. Step 6: Final answer
    x = 975.58

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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.