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Finding the Third Proportional to 438.36 and 959.22

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Solution

The third proportional to 438.36 and 959.22 is: 2,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 959.22 = 959.22 : x
  2. Step 2: Convert to fraction form
    438.36/959.22 = 959.22/x
  3. Step 3: Cross multiply
    438.36x = 959.22 × 959.22
  4. Step 4: Simplify right side
    438.36x = 920,100.61
  5. Step 5: Solve for x
    x = 920,100.61/438.36
  6. Step 6: Final answer
    x = 2,098.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.