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Finding the Third Proportional to 608.86 and 967.94

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Solution

The third proportional to 608.86 and 967.94 is: 1,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.86 : 967.94 = 967.94 : x
  2. Step 2: Convert to fraction form
    608.86/967.94 = 967.94/x
  3. Step 3: Cross multiply
    608.86x = 967.94 × 967.94
  4. Step 4: Simplify right side
    608.86x = 936,900.40
  5. Step 5: Solve for x
    x = 936,900.40/608.86
  6. Step 6: Final answer
    x = 1,538.77

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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.