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Finding the Third Proportional to 904.22 and 2,000.81

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Solution

The third proportional to 904.22 and 2,000.81 is: 4,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.22 : 2,000.81 = 2,000.81 : x
  2. Step 2: Convert to fraction form
    904.22/2,000.81 = 2,000.81/x
  3. Step 3: Cross multiply
    904.22x = 2,000.81 × 2,000.81
  4. Step 4: Simplify right side
    904.22x = 4,003,250.66
  5. Step 5: Solve for x
    x = 4,003,250.66/904.22
  6. Step 6: Final answer
    x = 4,427.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.