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Finding the Third Proportional to 439.22 and 959.53

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Solution

The third proportional to 439.22 and 959.53 is: 2,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.22 : 959.53 = 959.53 : x
  2. Step 2: Convert to fraction form
    439.22/959.53 = 959.53/x
  3. Step 3: Cross multiply
    439.22x = 959.53 × 959.53
  4. Step 4: Simplify right side
    439.22x = 920,700.22
  5. Step 5: Solve for x
    x = 920,700.22/439.22
  6. Step 6: Final answer
    x = 2,096.22

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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.