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Finding the Third Proportional to 900.75 and 1,197.25

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Solution

The third proportional to 900.75 and 1,197.25 is: 1,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.75 : 1,197.25 = 1,197.25 : x
  2. Step 2: Convert to fraction form
    900.75/1,197.25 = 1,197.25/x
  3. Step 3: Cross multiply
    900.75x = 1,197.25 × 1,197.25
  4. Step 4: Simplify right side
    900.75x = 1,433,407.56
  5. Step 5: Solve for x
    x = 1,433,407.56/900.75
  6. Step 6: Final answer
    x = 1,591.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.