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Finding the Third Proportional to 354.06 and 546.88

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Solution

The third proportional to 354.06 and 546.88 is: 844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 546.88 = 546.88 : x
  2. Step 2: Convert to fraction form
    354.06/546.88 = 546.88/x
  3. Step 3: Cross multiply
    354.06x = 546.88 × 546.88
  4. Step 4: Simplify right side
    354.06x = 299,072.27
  5. Step 5: Solve for x
    x = 299,072.27/354.06
  6. Step 6: Final answer
    x = 844.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.