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Finding the Third Proportional to 436.75 and 566.38

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Solution

The third proportional to 436.75 and 566.38 is: 734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.75 : 566.38 = 566.38 : x
  2. Step 2: Convert to fraction form
    436.75/566.38 = 566.38/x
  3. Step 3: Cross multiply
    436.75x = 566.38 × 566.38
  4. Step 4: Simplify right side
    436.75x = 320,780.64
  5. Step 5: Solve for x
    x = 320,780.64/436.75
  6. Step 6: Final answer
    x = 734.47

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.