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Finding the Third Proportional to 395.16 and 598.08

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Solution

The third proportional to 395.16 and 598.08 is: 905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 598.08 = 598.08 : x
  2. Step 2: Convert to fraction form
    395.16/598.08 = 598.08/x
  3. Step 3: Cross multiply
    395.16x = 598.08 × 598.08
  4. Step 4: Simplify right side
    395.16x = 357,697.44
  5. Step 5: Solve for x
    x = 357,697.44/395.16
  6. Step 6: Final answer
    x = 905.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.