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Finding the Third Proportional to 457.25 and 684.75

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Solution

The third proportional to 457.25 and 684.75 is: 1,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 684.75 = 684.75 : x
  2. Step 2: Convert to fraction form
    457.25/684.75 = 684.75/x
  3. Step 3: Cross multiply
    457.25x = 684.75 × 684.75
  4. Step 4: Simplify right side
    457.25x = 468,882.56
  5. Step 5: Solve for x
    x = 468,882.56/457.25
  6. Step 6: Final answer
    x = 1,025.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.