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Finding the Third Proportional to 762.38 and 1,644.75

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Solution

The third proportional to 762.38 and 1,644.75 is: 3,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.38 : 1,644.75 = 1,644.75 : x
  2. Step 2: Convert to fraction form
    762.38/1,644.75 = 1,644.75/x
  3. Step 3: Cross multiply
    762.38x = 1,644.75 × 1,644.75
  4. Step 4: Simplify right side
    762.38x = 2,705,202.56
  5. Step 5: Solve for x
    x = 2,705,202.56/762.38
  6. Step 6: Final answer
    x = 3,548.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.