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Finding the Third Proportional to 334.83 and 492.96

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Solution

The third proportional to 334.83 and 492.96 is: 725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.83 : 492.96 = 492.96 : x
  2. Step 2: Convert to fraction form
    334.83/492.96 = 492.96/x
  3. Step 3: Cross multiply
    334.83x = 492.96 × 492.96
  4. Step 4: Simplify right side
    334.83x = 243,010.49
  5. Step 5: Solve for x
    x = 243,010.49/334.83
  6. Step 6: Final answer
    x = 725.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.