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Finding the Third Proportional to 384 and 505.13

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Solution

The third proportional to 384 and 505.13 is: 664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 505.13 = 505.13 : x
  2. Step 2: Convert to fraction form
    384/505.13 = 505.13/x
  3. Step 3: Cross multiply
    384x = 505.13 × 505.13
  4. Step 4: Simplify right side
    384x = 255,151.27
  5. Step 5: Solve for x
    x = 255,151.27/384
  6. Step 6: Final answer
    x = 664.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.