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Finding the Third Proportional to 402 and 483

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Solution

The third proportional to 402 and 483 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 483 = 483 : x
  2. Step 2: Convert to fraction form
    402/483 = 483/x
  3. Step 3: Cross multiply
    402x = 483 × 483
  4. Step 4: Simplify right side
    402x = 233,289
  5. Step 5: Solve for x
    x = 233,289/402
  6. Step 6: Final answer
    x = 580.32

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.