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Finding the Third Proportional to 908.56 and 1,447.56

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Solution

The third proportional to 908.56 and 1,447.56 is: 2,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.56 : 1,447.56 = 1,447.56 : x
  2. Step 2: Convert to fraction form
    908.56/1,447.56 = 1,447.56/x
  3. Step 3: Cross multiply
    908.56x = 1,447.56 × 1,447.56
  4. Step 4: Simplify right side
    908.56x = 2,095,425.88
  5. Step 5: Solve for x
    x = 2,095,425.88/908.56
  6. Step 6: Final answer
    x = 2,306.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.