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Finding the Third Proportional to 627.94 and 956.53

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Solution

The third proportional to 627.94 and 956.53 is: 1,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.94 : 956.53 = 956.53 : x
  2. Step 2: Convert to fraction form
    627.94/956.53 = 956.53/x
  3. Step 3: Cross multiply
    627.94x = 956.53 × 956.53
  4. Step 4: Simplify right side
    627.94x = 914,952.03
  5. Step 5: Solve for x
    x = 914,952.03/627.94
  6. Step 6: Final answer
    x = 1,457.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.