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Finding the Third Proportional to 436.59 and 950.16

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Solution

The third proportional to 436.59 and 950.16 is: 2,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.59 : 950.16 = 950.16 : x
  2. Step 2: Convert to fraction form
    436.59/950.16 = 950.16/x
  3. Step 3: Cross multiply
    436.59x = 950.16 × 950.16
  4. Step 4: Simplify right side
    436.59x = 902,796.90
  5. Step 5: Solve for x
    x = 902,796.90/436.59
  6. Step 6: Final answer
    x = 2,067.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.