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Finding the Third Proportional to 462 and 696.38

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Solution

The third proportional to 462 and 696.38 is: 1,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 696.38 = 696.38 : x
  2. Step 2: Convert to fraction form
    462/696.38 = 696.38/x
  3. Step 3: Cross multiply
    462x = 696.38 × 696.38
  4. Step 4: Simplify right side
    462x = 484,938.14
  5. Step 5: Solve for x
    x = 484,938.14/462
  6. Step 6: Final answer
    x = 1,049.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.