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Finding the Third Proportional to 362.75 and 782.75

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Solution

The third proportional to 362.75 and 782.75 is: 1,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 782.75 = 782.75 : x
  2. Step 2: Convert to fraction form
    362.75/782.75 = 782.75/x
  3. Step 3: Cross multiply
    362.75x = 782.75 × 782.75
  4. Step 4: Simplify right side
    362.75x = 612,697.56
  5. Step 5: Solve for x
    x = 612,697.56/362.75
  6. Step 6: Final answer
    x = 1,689.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.