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Finding the Third Proportional to 797.75 and 1,203.88

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Solution

The third proportional to 797.75 and 1,203.88 is: 1,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.75 : 1,203.88 = 1,203.88 : x
  2. Step 2: Convert to fraction form
    797.75/1,203.88 = 1,203.88/x
  3. Step 3: Cross multiply
    797.75x = 1,203.88 × 1,203.88
  4. Step 4: Simplify right side
    797.75x = 1,449,315.02
  5. Step 5: Solve for x
    x = 1,449,315.02/797.75
  6. Step 6: Final answer
    x = 1,816.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.