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Finding the Third Proportional to 541.17 and 861.14

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Solution

The third proportional to 541.17 and 861.14 is: 1,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.17 : 861.14 = 861.14 : x
  2. Step 2: Convert to fraction form
    541.17/861.14 = 861.14/x
  3. Step 3: Cross multiply
    541.17x = 861.14 × 861.14
  4. Step 4: Simplify right side
    541.17x = 741,563.18
  5. Step 5: Solve for x
    x = 741,563.18/541.17
  6. Step 6: Final answer
    x = 1,370.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.