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Finding the Third Proportional to 804.56 and 1,775.44

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Solution

The third proportional to 804.56 and 1,775.44 is: 3,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.56 : 1,775.44 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    804.56/1,775.44 = 1,775.44/x
  3. Step 3: Cross multiply
    804.56x = 1,775.44 × 1,775.44
  4. Step 4: Simplify right side
    804.56x = 3,152,178.32
  5. Step 5: Solve for x
    x = 3,152,178.32/804.56
  6. Step 6: Final answer
    x = 3,917.88

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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.