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Finding the Third Proportional to 684 and 1,141

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Solution

The third proportional to 684 and 1,141 is: 1,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 1,141 = 1,141 : x
  2. Step 2: Convert to fraction form
    684/1,141 = 1,141/x
  3. Step 3: Cross multiply
    684x = 1,141 × 1,141
  4. Step 4: Simplify right side
    684x = 1,301,881
  5. Step 5: Solve for x
    x = 1,301,881/684
  6. Step 6: Final answer
    x = 1,903.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.