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Finding the Third Proportional to 772.66 and 1,228.29

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Solution

The third proportional to 772.66 and 1,228.29 is: 1,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.66 : 1,228.29 = 1,228.29 : x
  2. Step 2: Convert to fraction form
    772.66/1,228.29 = 1,228.29/x
  3. Step 3: Cross multiply
    772.66x = 1,228.29 × 1,228.29
  4. Step 4: Simplify right side
    772.66x = 1,508,694.02
  5. Step 5: Solve for x
    x = 1,508,694.02/772.66
  6. Step 6: Final answer
    x = 1,952.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.