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Finding the Third Proportional to 440.91 and 951.43

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Solution

The third proportional to 440.91 and 951.43 is: 2,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.91 : 951.43 = 951.43 : x
  2. Step 2: Convert to fraction form
    440.91/951.43 = 951.43/x
  3. Step 3: Cross multiply
    440.91x = 951.43 × 951.43
  4. Step 4: Simplify right side
    440.91x = 905,225.88
  5. Step 5: Solve for x
    x = 905,225.88/440.91
  6. Step 6: Final answer
    x = 2,053.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.