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Finding the Third Proportional to 803.04 and 1,201.55

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Solution

The third proportional to 803.04 and 1,201.55 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,201.55 = 1,201.55 : x
  2. Step 2: Convert to fraction form
    803.04/1,201.55 = 1,201.55/x
  3. Step 3: Cross multiply
    803.04x = 1,201.55 × 1,201.55
  4. Step 4: Simplify right side
    803.04x = 1,443,728.97
  5. Step 5: Solve for x
    x = 1,443,728.97/803.04
  6. Step 6: Final answer
    x = 1,797.83

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Why These Related Problems?

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