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Finding the Third Proportional to 384.75 and 517.88

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Solution

The third proportional to 384.75 and 517.88 is: 697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 517.88 = 517.88 : x
  2. Step 2: Convert to fraction form
    384.75/517.88 = 517.88/x
  3. Step 3: Cross multiply
    384.75x = 517.88 × 517.88
  4. Step 4: Simplify right side
    384.75x = 268,194.52
  5. Step 5: Solve for x
    x = 268,194.52/384.75
  6. Step 6: Final answer
    x = 697.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.