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Finding the Third Proportional to 546 and 600

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Solution

The third proportional to 546 and 600 is: 659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 600 = 600 : x
  2. Step 2: Convert to fraction form
    546/600 = 600/x
  3. Step 3: Cross multiply
    546x = 600 × 600
  4. Step 4: Simplify right side
    546x = 360,000
  5. Step 5: Solve for x
    x = 360,000/546
  6. Step 6: Final answer
    x = 659.34

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.