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Finding the Third Proportional to 380.25 and 800.25

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Solution

The third proportional to 380.25 and 800.25 is: 1,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 800.25 = 800.25 : x
  2. Step 2: Convert to fraction form
    380.25/800.25 = 800.25/x
  3. Step 3: Cross multiply
    380.25x = 800.25 × 800.25
  4. Step 4: Simplify right side
    380.25x = 640,400.06
  5. Step 5: Solve for x
    x = 640,400.06/380.25
  6. Step 6: Final answer
    x = 1,684.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.