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Finding the Third Proportional to 492.38 and 765.94

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Solution

The third proportional to 492.38 and 765.94 is: 1,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.38 : 765.94 = 765.94 : x
  2. Step 2: Convert to fraction form
    492.38/765.94 = 765.94/x
  3. Step 3: Cross multiply
    492.38x = 765.94 × 765.94
  4. Step 4: Simplify right side
    492.38x = 586,660.25
  5. Step 5: Solve for x
    x = 586,660.25/492.38
  6. Step 6: Final answer
    x = 1,191.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.