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Finding the Third Proportional to 383.38 and 542.94

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Solution

The third proportional to 383.38 and 542.94 is: 768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.38 : 542.94 = 542.94 : x
  2. Step 2: Convert to fraction form
    383.38/542.94 = 542.94/x
  3. Step 3: Cross multiply
    383.38x = 542.94 × 542.94
  4. Step 4: Simplify right side
    383.38x = 294,781.13
  5. Step 5: Solve for x
    x = 294,781.13/383.38
  6. Step 6: Final answer
    x = 768.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.