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Finding the Third Proportional to 298 and 691.75

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Solution

The third proportional to 298 and 691.75 is: 1,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 691.75 = 691.75 : x
  2. Step 2: Convert to fraction form
    298/691.75 = 691.75/x
  3. Step 3: Cross multiply
    298x = 691.75 × 691.75
  4. Step 4: Simplify right side
    298x = 478,518.06
  5. Step 5: Solve for x
    x = 478,518.06/298
  6. Step 6: Final answer
    x = 1,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.