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Finding the Third Proportional to 546.75 and 1,201.71

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Solution

The third proportional to 546.75 and 1,201.71 is: 2,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 1,201.71 = 1,201.71 : x
  2. Step 2: Convert to fraction form
    546.75/1,201.71 = 1,201.71/x
  3. Step 3: Cross multiply
    546.75x = 1,201.71 × 1,201.71
  4. Step 4: Simplify right side
    546.75x = 1,444,109.18
  5. Step 5: Solve for x
    x = 1,444,109.18/546.75
  6. Step 6: Final answer
    x = 2,641.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.