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Finding the Third Proportional to 312.47 and 465.94

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Solution

The third proportional to 312.47 and 465.94 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.47 : 465.94 = 465.94 : x
  2. Step 2: Convert to fraction form
    312.47/465.94 = 465.94/x
  3. Step 3: Cross multiply
    312.47x = 465.94 × 465.94
  4. Step 4: Simplify right side
    312.47x = 217,097.75
  5. Step 5: Solve for x
    x = 217,097.75/312.47
  6. Step 6: Final answer
    x = 694.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.