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Finding the Third Proportional to 461.32 and 743.24

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Solution

The third proportional to 461.32 and 743.24 is: 1,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 743.24 = 743.24 : x
  2. Step 2: Convert to fraction form
    461.32/743.24 = 743.24/x
  3. Step 3: Cross multiply
    461.32x = 743.24 × 743.24
  4. Step 4: Simplify right side
    461.32x = 552,403.14
  5. Step 5: Solve for x
    x = 552,403.14/461.32
  6. Step 6: Final answer
    x = 1,197.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.