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Finding the Third Proportional to 461.21 and 1,012.92

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Solution

The third proportional to 461.21 and 1,012.92 is: 2,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.21 : 1,012.92 = 1,012.92 : x
  2. Step 2: Convert to fraction form
    461.21/1,012.92 = 1,012.92/x
  3. Step 3: Cross multiply
    461.21x = 1,012.92 × 1,012.92
  4. Step 4: Simplify right side
    461.21x = 1,026,010.72
  5. Step 5: Solve for x
    x = 1,026,010.72/461.21
  6. Step 6: Final answer
    x = 2,224.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.