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Finding the Third Proportional to 423.66 and 641.44

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Solution

The third proportional to 423.66 and 641.44 is: 971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.66 : 641.44 = 641.44 : x
  2. Step 2: Convert to fraction form
    423.66/641.44 = 641.44/x
  3. Step 3: Cross multiply
    423.66x = 641.44 × 641.44
  4. Step 4: Simplify right side
    423.66x = 411,442.07
  5. Step 5: Solve for x
    x = 411,442.07/423.66
  6. Step 6: Final answer
    x = 971.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.