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Finding the Third Proportional to 533.53 and 832.64

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Solution

The third proportional to 533.53 and 832.64 is: 1,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.53 : 832.64 = 832.64 : x
  2. Step 2: Convert to fraction form
    533.53/832.64 = 832.64/x
  3. Step 3: Cross multiply
    533.53x = 832.64 × 832.64
  4. Step 4: Simplify right side
    533.53x = 693,290.41
  5. Step 5: Solve for x
    x = 693,290.41/533.53
  6. Step 6: Final answer
    x = 1,299.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.