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Finding the Third Proportional to 682.17 and 1,028.95

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Solution

The third proportional to 682.17 and 1,028.95 is: 1,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.17 : 1,028.95 = 1,028.95 : x
  2. Step 2: Convert to fraction form
    682.17/1,028.95 = 1,028.95/x
  3. Step 3: Cross multiply
    682.17x = 1,028.95 × 1,028.95
  4. Step 4: Simplify right side
    682.17x = 1,058,744.53
  5. Step 5: Solve for x
    x = 1,058,744.53/682.17
  6. Step 6: Final answer
    x = 1,552.02

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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.