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Finding the Third Proportional to 457.38 and 967.25

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Solution

The third proportional to 457.38 and 967.25 is: 2,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.38 : 967.25 = 967.25 : x
  2. Step 2: Convert to fraction form
    457.38/967.25 = 967.25/x
  3. Step 3: Cross multiply
    457.38x = 967.25 × 967.25
  4. Step 4: Simplify right side
    457.38x = 935,572.56
  5. Step 5: Solve for x
    x = 935,572.56/457.38
  6. Step 6: Final answer
    x = 2,045.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.