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Finding the Third Proportional to 457 and 949

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Solution

The third proportional to 457 and 949 is: 1,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 949 = 949 : x
  2. Step 2: Convert to fraction form
    457/949 = 949/x
  3. Step 3: Cross multiply
    457x = 949 × 949
  4. Step 4: Simplify right side
    457x = 900,601
  5. Step 5: Solve for x
    x = 900,601/457
  6. Step 6: Final answer
    x = 1,970.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.