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Finding the Third Proportional to 287.06 and 627.56

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Solution

The third proportional to 287.06 and 627.56 is: 1,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.06 : 627.56 = 627.56 : x
  2. Step 2: Convert to fraction form
    287.06/627.56 = 627.56/x
  3. Step 3: Cross multiply
    287.06x = 627.56 × 627.56
  4. Step 4: Simplify right side
    287.06x = 393,834.69
  5. Step 5: Solve for x
    x = 393,834.69/287.06
  6. Step 6: Final answer
    x = 1,371.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.