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Finding the Third Proportional to 814.75 and 1,196.75

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Solution

The third proportional to 814.75 and 1,196.75 is: 1,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.75 : 1,196.75 = 1,196.75 : x
  2. Step 2: Convert to fraction form
    814.75/1,196.75 = 1,196.75/x
  3. Step 3: Cross multiply
    814.75x = 1,196.75 × 1,196.75
  4. Step 4: Simplify right side
    814.75x = 1,432,210.56
  5. Step 5: Solve for x
    x = 1,432,210.56/814.75
  6. Step 6: Final answer
    x = 1,757.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.