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Finding the Third Proportional to 546 and 696.75

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Solution

The third proportional to 546 and 696.75 is: 889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 696.75 = 696.75 : x
  2. Step 2: Convert to fraction form
    546/696.75 = 696.75/x
  3. Step 3: Cross multiply
    546x = 696.75 × 696.75
  4. Step 4: Simplify right side
    546x = 485,460.56
  5. Step 5: Solve for x
    x = 485,460.56/546
  6. Step 6: Final answer
    x = 889.12

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.