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Finding the Third Proportional to 320.94 and 506.88

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Solution

The third proportional to 320.94 and 506.88 is: 800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 506.88 = 506.88 : x
  2. Step 2: Convert to fraction form
    320.94/506.88 = 506.88/x
  3. Step 3: Cross multiply
    320.94x = 506.88 × 506.88
  4. Step 4: Simplify right side
    320.94x = 256,922.27
  5. Step 5: Solve for x
    x = 256,922.27/320.94
  6. Step 6: Final answer
    x = 800.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.