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Finding the Third Proportional to 397.41 and 864.42

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Solution

The third proportional to 397.41 and 864.42 is: 1,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 864.42 = 864.42 : x
  2. Step 2: Convert to fraction form
    397.41/864.42 = 864.42/x
  3. Step 3: Cross multiply
    397.41x = 864.42 × 864.42
  4. Step 4: Simplify right side
    397.41x = 747,225.18
  5. Step 5: Solve for x
    x = 747,225.18/397.41
  6. Step 6: Final answer
    x = 1,880.26

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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.