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Finding the Third Proportional to 499.92 and 967.57

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Solution

The third proportional to 499.92 and 967.57 is: 1,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 967.57 = 967.57 : x
  2. Step 2: Convert to fraction form
    499.92/967.57 = 967.57/x
  3. Step 3: Cross multiply
    499.92x = 967.57 × 967.57
  4. Step 4: Simplify right side
    499.92x = 936,192.31
  5. Step 5: Solve for x
    x = 936,192.31/499.92
  6. Step 6: Final answer
    x = 1,872.68

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.