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Finding the Third Proportional to 292.03 and 682.41

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Solution

The third proportional to 292.03 and 682.41 is: 1,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.03 : 682.41 = 682.41 : x
  2. Step 2: Convert to fraction form
    292.03/682.41 = 682.41/x
  3. Step 3: Cross multiply
    292.03x = 682.41 × 682.41
  4. Step 4: Simplify right side
    292.03x = 465,678.29
  5. Step 5: Solve for x
    x = 465,678.29/292.03
  6. Step 6: Final answer
    x = 1,594.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.