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Finding the Third Proportional to 370.36 and 800.11

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Solution

The third proportional to 370.36 and 800.11 is: 1,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.36 : 800.11 = 800.11 : x
  2. Step 2: Convert to fraction form
    370.36/800.11 = 800.11/x
  3. Step 3: Cross multiply
    370.36x = 800.11 × 800.11
  4. Step 4: Simplify right side
    370.36x = 640,175.01
  5. Step 5: Solve for x
    x = 640,175.01/370.36
  6. Step 6: Final answer
    x = 1,728.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.