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Finding the Third Proportional to 466.13 and 1,072.31

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Solution

The third proportional to 466.13 and 1,072.31 is: 2,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.13 : 1,072.31 = 1,072.31 : x
  2. Step 2: Convert to fraction form
    466.13/1,072.31 = 1,072.31/x
  3. Step 3: Cross multiply
    466.13x = 1,072.31 × 1,072.31
  4. Step 4: Simplify right side
    466.13x = 1,149,854.10
  5. Step 5: Solve for x
    x = 1,149,854.10/466.13
  6. Step 6: Final answer
    x = 2,466.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.