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Finding the Third Proportional to 388 and 527.25

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Solution

The third proportional to 388 and 527.25 is: 716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388 : 527.25 = 527.25 : x
  2. Step 2: Convert to fraction form
    388/527.25 = 527.25/x
  3. Step 3: Cross multiply
    388x = 527.25 × 527.25
  4. Step 4: Simplify right side
    388x = 277,992.56
  5. Step 5: Solve for x
    x = 277,992.56/388
  6. Step 6: Final answer
    x = 716.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.