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Finding the Third Proportional to 314 and 627

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Solution

The third proportional to 314 and 627 is: 1,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 627 = 627 : x
  2. Step 2: Convert to fraction form
    314/627 = 627/x
  3. Step 3: Cross multiply
    314x = 627 × 627
  4. Step 4: Simplify right side
    314x = 393,129
  5. Step 5: Solve for x
    x = 393,129/314
  6. Step 6: Final answer
    x = 1,252.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.