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Finding the Third Proportional to 332.94 and 512.97

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Solution

The third proportional to 332.94 and 512.97 is: 790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.94 : 512.97 = 512.97 : x
  2. Step 2: Convert to fraction form
    332.94/512.97 = 512.97/x
  3. Step 3: Cross multiply
    332.94x = 512.97 × 512.97
  4. Step 4: Simplify right side
    332.94x = 263,136.94
  5. Step 5: Solve for x
    x = 263,136.94/332.94
  6. Step 6: Final answer
    x = 790.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.