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Finding the Third Proportional to 495.19 and 696.56

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Solution

The third proportional to 495.19 and 696.56 is: 979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.19 : 696.56 = 696.56 : x
  2. Step 2: Convert to fraction form
    495.19/696.56 = 696.56/x
  3. Step 3: Cross multiply
    495.19x = 696.56 × 696.56
  4. Step 4: Simplify right side
    495.19x = 485,199.32
  5. Step 5: Solve for x
    x = 485,199.32/495.19
  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.