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Finding the Third Proportional to 506.63 and 761.44

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Solution

The third proportional to 506.63 and 761.44 is: 1,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 761.44 = 761.44 : x
  2. Step 2: Convert to fraction form
    506.63/761.44 = 761.44/x
  3. Step 3: Cross multiply
    506.63x = 761.44 × 761.44
  4. Step 4: Simplify right side
    506.63x = 579,787.07
  5. Step 5: Solve for x
    x = 579,787.07/506.63
  6. Step 6: Final answer
    x = 1,144.41

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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.