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Finding the Third Proportional to 461.81 and 1,067.63

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Solution

The third proportional to 461.81 and 1,067.63 is: 2,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.81 : 1,067.63 = 1,067.63 : x
  2. Step 2: Convert to fraction form
    461.81/1,067.63 = 1,067.63/x
  3. Step 3: Cross multiply
    461.81x = 1,067.63 × 1,067.63
  4. Step 4: Simplify right side
    461.81x = 1,139,823.14
  5. Step 5: Solve for x
    x = 1,139,823.14/461.81
  6. Step 6: Final answer
    x = 2,468.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.