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Finding the Third Proportional to 546.75 and 818.63

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Solution

The third proportional to 546.75 and 818.63 is: 1,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 818.63 = 818.63 : x
  2. Step 2: Convert to fraction form
    546.75/818.63 = 818.63/x
  3. Step 3: Cross multiply
    546.75x = 818.63 × 818.63
  4. Step 4: Simplify right side
    546.75x = 670,146.89
  5. Step 5: Solve for x
    x = 670,146.89/546.75
  6. Step 6: Final answer
    x = 1,225.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.