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Finding the Third Proportional to 506.63 and 773.63

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Solution

The third proportional to 506.63 and 773.63 is: 1,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.63 : 773.63 = 773.63 : x
  2. Step 2: Convert to fraction form
    506.63/773.63 = 773.63/x
  3. Step 3: Cross multiply
    506.63x = 773.63 × 773.63
  4. Step 4: Simplify right side
    506.63x = 598,495.64
  5. Step 5: Solve for x
    x = 598,495.64/506.63
  6. Step 6: Final answer
    x = 1,181.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.