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Finding the Third Proportional to 608.75 and 913.13

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Solution

The third proportional to 608.75 and 913.13 is: 1,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.75 : 913.13 = 913.13 : x
  2. Step 2: Convert to fraction form
    608.75/913.13 = 913.13/x
  3. Step 3: Cross multiply
    608.75x = 913.13 × 913.13
  4. Step 4: Simplify right side
    608.75x = 833,797.27
  5. Step 5: Solve for x
    x = 833,797.27/608.75
  6. Step 6: Final answer
    x = 1,369.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.