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Finding the Third Proportional to 500.25 and 926.63

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Solution

The third proportional to 500.25 and 926.63 is: 1,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 926.63 = 926.63 : x
  2. Step 2: Convert to fraction form
    500.25/926.63 = 926.63/x
  3. Step 3: Cross multiply
    500.25x = 926.63 × 926.63
  4. Step 4: Simplify right side
    500.25x = 858,633.89
  5. Step 5: Solve for x
    x = 858,633.89/500.25
  6. Step 6: Final answer
    x = 1,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.