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Finding the Third Proportional to 767.29 and 1,180.51

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Solution

The third proportional to 767.29 and 1,180.51 is: 1,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.29 : 1,180.51 = 1,180.51 : x
  2. Step 2: Convert to fraction form
    767.29/1,180.51 = 1,180.51/x
  3. Step 3: Cross multiply
    767.29x = 1,180.51 × 1,180.51
  4. Step 4: Simplify right side
    767.29x = 1,393,607.92
  5. Step 5: Solve for x
    x = 1,393,607.92/767.29
  6. Step 6: Final answer
    x = 1,816.28

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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.