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Finding the Third Proportional to 492.19 and 694.69

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Solution

The third proportional to 492.19 and 694.69 is: 980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 694.69 = 694.69 : x
  2. Step 2: Convert to fraction form
    492.19/694.69 = 694.69/x
  3. Step 3: Cross multiply
    492.19x = 694.69 × 694.69
  4. Step 4: Simplify right side
    492.19x = 482,590.72
  5. Step 5: Solve for x
    x = 482,590.72/492.19
  6. Step 6: Final answer
    x = 980.50

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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.