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Finding the Third Proportional to 493.17 and 695.14

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Solution

The third proportional to 493.17 and 695.14 is: 979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.17 : 695.14 = 695.14 : x
  2. Step 2: Convert to fraction form
    493.17/695.14 = 695.14/x
  3. Step 3: Cross multiply
    493.17x = 695.14 × 695.14
  4. Step 4: Simplify right side
    493.17x = 483,225.92
  5. Step 5: Solve for x
    x = 483,225.92/493.17
  6. Step 6: Final answer
    x = 979.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.