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Finding the Third Proportional to 331.93 and 727.93

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Solution

The third proportional to 331.93 and 727.93 is: 1,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.93 : 727.93 = 727.93 : x
  2. Step 2: Convert to fraction form
    331.93/727.93 = 727.93/x
  3. Step 3: Cross multiply
    331.93x = 727.93 × 727.93
  4. Step 4: Simplify right side
    331.93x = 529,885.18
  5. Step 5: Solve for x
    x = 529,885.18/331.93
  6. Step 6: Final answer
    x = 1,596.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.