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Finding the Third Proportional to 384.75 and 524.75

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Solution

The third proportional to 384.75 and 524.75 is: 715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 524.75 = 524.75 : x
  2. Step 2: Convert to fraction form
    384.75/524.75 = 524.75/x
  3. Step 3: Cross multiply
    384.75x = 524.75 × 524.75
  4. Step 4: Simplify right side
    384.75x = 275,362.56
  5. Step 5: Solve for x
    x = 275,362.56/384.75
  6. Step 6: Final answer
    x = 715.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.