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Finding the Third Proportional to 287 and 618.25

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Solution

The third proportional to 287 and 618.25 is: 1,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 618.25 = 618.25 : x
  2. Step 2: Convert to fraction form
    287/618.25 = 618.25/x
  3. Step 3: Cross multiply
    287x = 618.25 × 618.25
  4. Step 4: Simplify right side
    287x = 382,233.06
  5. Step 5: Solve for x
    x = 382,233.06/287
  6. Step 6: Final answer
    x = 1,331.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.