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Finding the Third Proportional to 694.35 and 1,504.51

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Solution

The third proportional to 694.35 and 1,504.51 is: 3,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 1,504.51 = 1,504.51 : x
  2. Step 2: Convert to fraction form
    694.35/1,504.51 = 1,504.51/x
  3. Step 3: Cross multiply
    694.35x = 1,504.51 × 1,504.51
  4. Step 4: Simplify right side
    694.35x = 2,263,555.51
  5. Step 5: Solve for x
    x = 2,263,555.51/694.35
  6. Step 6: Final answer
    x = 3,259.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.