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Finding the Third Proportional to 380 and 544.75

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Solution

The third proportional to 380 and 544.75 is: 780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 544.75 = 544.75 : x
  2. Step 2: Convert to fraction form
    380/544.75 = 544.75/x
  3. Step 3: Cross multiply
    380x = 544.75 × 544.75
  4. Step 4: Simplify right side
    380x = 296,752.56
  5. Step 5: Solve for x
    x = 296,752.56/380
  6. Step 6: Final answer
    x = 780.93

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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.