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Finding the Third Proportional to 384.96 and 538.73

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Solution

The third proportional to 384.96 and 538.73 is: 753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.96 : 538.73 = 538.73 : x
  2. Step 2: Convert to fraction form
    384.96/538.73 = 538.73/x
  3. Step 3: Cross multiply
    384.96x = 538.73 × 538.73
  4. Step 4: Simplify right side
    384.96x = 290,234.73
  5. Step 5: Solve for x
    x = 290,234.73/384.96
  6. Step 6: Final answer
    x = 753.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.