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Finding the Third Proportional to 436.31 and 600.84

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Solution

The third proportional to 436.31 and 600.84 is: 827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.31 : 600.84 = 600.84 : x
  2. Step 2: Convert to fraction form
    436.31/600.84 = 600.84/x
  3. Step 3: Cross multiply
    436.31x = 600.84 × 600.84
  4. Step 4: Simplify right side
    436.31x = 361,013.21
  5. Step 5: Solve for x
    x = 361,013.21/436.31
  6. Step 6: Final answer
    x = 827.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.