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Finding the Third Proportional to 384.75 and 541.69

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Solution

The third proportional to 384.75 and 541.69 is: 762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 541.69 = 541.69 : x
  2. Step 2: Convert to fraction form
    384.75/541.69 = 541.69/x
  3. Step 3: Cross multiply
    384.75x = 541.69 × 541.69
  4. Step 4: Simplify right side
    384.75x = 293,425.35
  5. Step 5: Solve for x
    x = 293,425.35/384.75
  6. Step 6: Final answer
    x = 762.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.