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Finding the Third Proportional to 425.91 and 861.94

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Solution

The third proportional to 425.91 and 861.94 is: 1,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.91 : 861.94 = 861.94 : x
  2. Step 2: Convert to fraction form
    425.91/861.94 = 861.94/x
  3. Step 3: Cross multiply
    425.91x = 861.94 × 861.94
  4. Step 4: Simplify right side
    425.91x = 742,936.25
  5. Step 5: Solve for x
    x = 742,936.25/425.91
  6. Step 6: Final answer
    x = 1,744.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.