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Finding the Third Proportional to 684.66 and 1,112.44

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Solution

The third proportional to 684.66 and 1,112.44 is: 1,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,112.44 = 1,112.44 : x
  2. Step 2: Convert to fraction form
    684.66/1,112.44 = 1,112.44/x
  3. Step 3: Cross multiply
    684.66x = 1,112.44 × 1,112.44
  4. Step 4: Simplify right side
    684.66x = 1,237,517.19
  5. Step 5: Solve for x
    x = 1,237,517.19/684.66
  6. Step 6: Final answer
    x = 1,807.50

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.