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Finding the Third Proportional to 402 and 535.50

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Solution

The third proportional to 402 and 535.50 is: 713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 535.50 = 535.50 : x
  2. Step 2: Convert to fraction form
    402/535.50 = 535.50/x
  3. Step 3: Cross multiply
    402x = 535.50 × 535.50
  4. Step 4: Simplify right side
    402x = 286,760.25
  5. Step 5: Solve for x
    x = 286,760.25/402
  6. Step 6: Final answer
    x = 713.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.