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Finding the Third Proportional to 727.69 and 1,028.63

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Solution

The third proportional to 727.69 and 1,028.63 is: 1,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.69 : 1,028.63 = 1,028.63 : x
  2. Step 2: Convert to fraction form
    727.69/1,028.63 = 1,028.63/x
  3. Step 3: Cross multiply
    727.69x = 1,028.63 × 1,028.63
  4. Step 4: Simplify right side
    727.69x = 1,058,069.39
  5. Step 5: Solve for x
    x = 1,058,069.39/727.69
  6. Step 6: Final answer
    x = 1,454.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.