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Finding the Third Proportional to 376.37 and 546.99

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Solution

The third proportional to 376.37 and 546.99 is: 794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.37 : 546.99 = 546.99 : x
  2. Step 2: Convert to fraction form
    376.37/546.99 = 546.99/x
  3. Step 3: Cross multiply
    376.37x = 546.99 × 546.99
  4. Step 4: Simplify right side
    376.37x = 299,195.11
  5. Step 5: Solve for x
    x = 299,195.11/376.37
  6. Step 6: Final answer
    x = 794.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.