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Finding the Third Proportional to 506.17 and 704.79

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Solution

The third proportional to 506.17 and 704.79 is: 981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.17 : 704.79 = 704.79 : x
  2. Step 2: Convert to fraction form
    506.17/704.79 = 704.79/x
  3. Step 3: Cross multiply
    506.17x = 704.79 × 704.79
  4. Step 4: Simplify right side
    506.17x = 496,735.88
  5. Step 5: Solve for x
    x = 496,735.88/506.17
  6. Step 6: Final answer
    x = 981.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.