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Finding the Third Proportional to 546.56 and 852.75

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Solution

The third proportional to 546.56 and 852.75 is: 1,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.56 : 852.75 = 852.75 : x
  2. Step 2: Convert to fraction form
    546.56/852.75 = 852.75/x
  3. Step 3: Cross multiply
    546.56x = 852.75 × 852.75
  4. Step 4: Simplify right side
    546.56x = 727,182.56
  5. Step 5: Solve for x
    x = 727,182.56/546.56
  6. Step 6: Final answer
    x = 1,330.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.