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Finding the Third Proportional to 474.50 and 548.75

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Solution

The third proportional to 474.50 and 548.75 is: 634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 548.75 = 548.75 : x
  2. Step 2: Convert to fraction form
    474.50/548.75 = 548.75/x
  3. Step 3: Cross multiply
    474.50x = 548.75 × 548.75
  4. Step 4: Simplify right side
    474.50x = 301,126.56
  5. Step 5: Solve for x
    x = 301,126.56/474.50
  6. Step 6: Final answer
    x = 634.62

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.