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Finding the Third Proportional to 694.83 and 1,144.76

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Solution

The third proportional to 694.83 and 1,144.76 is: 1,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.83 : 1,144.76 = 1,144.76 : x
  2. Step 2: Convert to fraction form
    694.83/1,144.76 = 1,144.76/x
  3. Step 3: Cross multiply
    694.83x = 1,144.76 × 1,144.76
  4. Step 4: Simplify right side
    694.83x = 1,310,470.45
  5. Step 5: Solve for x
    x = 1,310,470.45/694.83
  6. Step 6: Final answer
    x = 1,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.