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Finding the Third Proportional to 384.43 and 828.67

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Solution

The third proportional to 384.43 and 828.67 is: 1,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 828.67 = 828.67 : x
  2. Step 2: Convert to fraction form
    384.43/828.67 = 828.67/x
  3. Step 3: Cross multiply
    384.43x = 828.67 × 828.67
  4. Step 4: Simplify right side
    384.43x = 686,690.60
  5. Step 5: Solve for x
    x = 686,690.60/384.43
  6. Step 6: Final answer
    x = 1,786.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.