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Finding the Third Proportional to 546.94 and 865.97

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Solution

The third proportional to 546.94 and 865.97 is: 1,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 865.97 = 865.97 : x
  2. Step 2: Convert to fraction form
    546.94/865.97 = 865.97/x
  3. Step 3: Cross multiply
    546.94x = 865.97 × 865.97
  4. Step 4: Simplify right side
    546.94x = 749,901.88
  5. Step 5: Solve for x
    x = 749,901.88/546.94
  6. Step 6: Final answer
    x = 1,371.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.