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Finding the Third Proportional to 416.75 and 600.25

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Solution

The third proportional to 416.75 and 600.25 is: 864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 600.25 = 600.25 : x
  2. Step 2: Convert to fraction form
    416.75/600.25 = 600.25/x
  3. Step 3: Cross multiply
    416.75x = 600.25 × 600.25
  4. Step 4: Simplify right side
    416.75x = 360,300.06
  5. Step 5: Solve for x
    x = 360,300.06/416.75
  6. Step 6: Final answer
    x = 864.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.