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Finding the Third Proportional to 511.03 and 816.56

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Solution

The third proportional to 511.03 and 816.56 is: 1,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.03 : 816.56 = 816.56 : x
  2. Step 2: Convert to fraction form
    511.03/816.56 = 816.56/x
  3. Step 3: Cross multiply
    511.03x = 816.56 × 816.56
  4. Step 4: Simplify right side
    511.03x = 666,774.32
  5. Step 5: Solve for x
    x = 666,774.32/511.03
  6. Step 6: Final answer
    x = 1,304.76

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.