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Finding the Third Proportional to 378.75 and 717.56

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Solution

The third proportional to 378.75 and 717.56 is: 1,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.75 : 717.56 = 717.56 : x
  2. Step 2: Convert to fraction form
    378.75/717.56 = 717.56/x
  3. Step 3: Cross multiply
    378.75x = 717.56 × 717.56
  4. Step 4: Simplify right side
    378.75x = 514,895.94
  5. Step 5: Solve for x
    x = 514,895.94/378.75
  6. Step 6: Final answer
    x = 1,359.46

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.