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Finding the Third Proportional to 465.75 and 698.94

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Solution

The third proportional to 465.75 and 698.94 is: 1,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 698.94 = 698.94 : x
  2. Step 2: Convert to fraction form
    465.75/698.94 = 698.94/x
  3. Step 3: Cross multiply
    465.75x = 698.94 × 698.94
  4. Step 4: Simplify right side
    465.75x = 488,519.09
  5. Step 5: Solve for x
    x = 488,519.09/465.75
  6. Step 6: Final answer
    x = 1,048.89

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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.