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Finding the Third Proportional to 793.55 and 903.02

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Solution

The third proportional to 793.55 and 903.02 is: 1,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.55 : 903.02 = 903.02 : x
  2. Step 2: Convert to fraction form
    793.55/903.02 = 903.02/x
  3. Step 3: Cross multiply
    793.55x = 903.02 × 903.02
  4. Step 4: Simplify right side
    793.55x = 815,451.33
  5. Step 5: Solve for x
    x = 815,451.33/793.55
  6. Step 6: Final answer
    x = 1,027.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.