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Finding the Third Proportional to 803.04 and 1,201.24

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Solution

The third proportional to 803.04 and 1,201.24 is: 1,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,201.24 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    803.04/1,201.24 = 1,201.24/x
  3. Step 3: Cross multiply
    803.04x = 1,201.24 × 1,201.24
  4. Step 4: Simplify right side
    803.04x = 1,442,968.72
  5. Step 5: Solve for x
    x = 1,442,968.72/803.04
  6. Step 6: Final answer
    x = 1,796.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.