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Finding the Third Proportional to 906.38 and 1,191.75

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Solution

The third proportional to 906.38 and 1,191.75 is: 1,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.38 : 1,191.75 = 1,191.75 : x
  2. Step 2: Convert to fraction form
    906.38/1,191.75 = 1,191.75/x
  3. Step 3: Cross multiply
    906.38x = 1,191.75 × 1,191.75
  4. Step 4: Simplify right side
    906.38x = 1,420,268.06
  5. Step 5: Solve for x
    x = 1,420,268.06/906.38
  6. Step 6: Final answer
    x = 1,566.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.