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Finding the Third Proportional to 506.53 and 761.48

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Solution

The third proportional to 506.53 and 761.48 is: 1,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 761.48 = 761.48 : x
  2. Step 2: Convert to fraction form
    506.53/761.48 = 761.48/x
  3. Step 3: Cross multiply
    506.53x = 761.48 × 761.48
  4. Step 4: Simplify right side
    506.53x = 579,858.45
  5. Step 5: Solve for x
    x = 579,858.45/506.53
  6. Step 6: Final answer
    x = 1,144.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.