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Finding the Third Proportional to 597.75 and 908.75

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Solution

The third proportional to 597.75 and 908.75 is: 1,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 908.75 = 908.75 : x
  2. Step 2: Convert to fraction form
    597.75/908.75 = 908.75/x
  3. Step 3: Cross multiply
    597.75x = 908.75 × 908.75
  4. Step 4: Simplify right side
    597.75x = 825,826.56
  5. Step 5: Solve for x
    x = 825,826.56/597.75
  6. Step 6: Final answer
    x = 1,381.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.