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Finding the Third Proportional to 462.75 and 672.38

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Solution

The third proportional to 462.75 and 672.38 is: 976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 672.38 = 672.38 : x
  2. Step 2: Convert to fraction form
    462.75/672.38 = 672.38/x
  3. Step 3: Cross multiply
    462.75x = 672.38 × 672.38
  4. Step 4: Simplify right side
    462.75x = 452,088.14
  5. Step 5: Solve for x
    x = 452,088.14/462.75
  6. Step 6: Final answer
    x = 976.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.