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Finding the Third Proportional to 797.75 and 1,232.13

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Solution

The third proportional to 797.75 and 1,232.13 is: 1,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.75 : 1,232.13 = 1,232.13 : x
  2. Step 2: Convert to fraction form
    797.75/1,232.13 = 1,232.13/x
  3. Step 3: Cross multiply
    797.75x = 1,232.13 × 1,232.13
  4. Step 4: Simplify right side
    797.75x = 1,518,132.02
  5. Step 5: Solve for x
    x = 1,518,132.02/797.75
  6. Step 6: Final answer
    x = 1,903.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.