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Finding the Third Proportional to 419.50 and 926.75

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Solution

The third proportional to 419.50 and 926.75 is: 2,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.50 : 926.75 = 926.75 : x
  2. Step 2: Convert to fraction form
    419.50/926.75 = 926.75/x
  3. Step 3: Cross multiply
    419.50x = 926.75 × 926.75
  4. Step 4: Simplify right side
    419.50x = 858,865.56
  5. Step 5: Solve for x
    x = 858,865.56/419.50
  6. Step 6: Final answer
    x = 2,047.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.