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Finding the Third Proportional to 409 and 536

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Solution

The third proportional to 409 and 536 is: 702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 536 = 536 : x
  2. Step 2: Convert to fraction form
    409/536 = 536/x
  3. Step 3: Cross multiply
    409x = 536 × 536
  4. Step 4: Simplify right side
    409x = 287,296
  5. Step 5: Solve for x
    x = 287,296/409
  6. Step 6: Final answer
    x = 702.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.