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Finding the Third Proportional to 832.44 and 1,808.88

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Solution

The third proportional to 832.44 and 1,808.88 is: 3,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.44 : 1,808.88 = 1,808.88 : x
  2. Step 2: Convert to fraction form
    832.44/1,808.88 = 1,808.88/x
  3. Step 3: Cross multiply
    832.44x = 1,808.88 × 1,808.88
  4. Step 4: Simplify right side
    832.44x = 3,272,028.77
  5. Step 5: Solve for x
    x = 3,272,028.77/832.44
  6. Step 6: Final answer
    x = 3,930.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.