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Finding the Third Proportional to 546.50 and 836.88

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Solution

The third proportional to 546.50 and 836.88 is: 1,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 836.88 = 836.88 : x
  2. Step 2: Convert to fraction form
    546.50/836.88 = 836.88/x
  3. Step 3: Cross multiply
    546.50x = 836.88 × 836.88
  4. Step 4: Simplify right side
    546.50x = 700,359.77
  5. Step 5: Solve for x
    x = 700,359.77/546.50
  6. Step 6: Final answer
    x = 1,281.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.