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Finding the Third Proportional to 438.54 and 951.12

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Solution

The third proportional to 438.54 and 951.12 is: 2,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 951.12 = 951.12 : x
  2. Step 2: Convert to fraction form
    438.54/951.12 = 951.12/x
  3. Step 3: Cross multiply
    438.54x = 951.12 × 951.12
  4. Step 4: Simplify right side
    438.54x = 904,623.90
  5. Step 5: Solve for x
    x = 904,623.90/438.54
  6. Step 6: Final answer
    x = 2,062.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.