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Finding the Third Proportional to 684.39 and 1,496.92

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Solution

The third proportional to 684.39 and 1,496.92 is: 3,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 1,496.92 = 1,496.92 : x
  2. Step 2: Convert to fraction form
    684.39/1,496.92 = 1,496.92/x
  3. Step 3: Cross multiply
    684.39x = 1,496.92 × 1,496.92
  4. Step 4: Simplify right side
    684.39x = 2,240,763.41
  5. Step 5: Solve for x
    x = 2,240,763.41/684.39
  6. Step 6: Final answer
    x = 3,274.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.