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Finding the Third Proportional to 395.06 and 598.03

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Solution

The third proportional to 395.06 and 598.03 is: 905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 598.03 = 598.03 : x
  2. Step 2: Convert to fraction form
    395.06/598.03 = 598.03/x
  3. Step 3: Cross multiply
    395.06x = 598.03 × 598.03
  4. Step 4: Simplify right side
    395.06x = 357,641.38
  5. Step 5: Solve for x
    x = 357,641.38/395.06
  6. Step 6: Final answer
    x = 905.28

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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.