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Finding the Third Proportional to 373.88 and 533.94

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Solution

The third proportional to 373.88 and 533.94 is: 762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.88 : 533.94 = 533.94 : x
  2. Step 2: Convert to fraction form
    373.88/533.94 = 533.94/x
  3. Step 3: Cross multiply
    373.88x = 533.94 × 533.94
  4. Step 4: Simplify right side
    373.88x = 285,089.25
  5. Step 5: Solve for x
    x = 285,089.25/373.88
  6. Step 6: Final answer
    x = 762.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.