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Finding the Third Proportional to 461.32 and 605.48

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Solution

The third proportional to 461.32 and 605.48 is: 794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 605.48 = 605.48 : x
  2. Step 2: Convert to fraction form
    461.32/605.48 = 605.48/x
  3. Step 3: Cross multiply
    461.32x = 605.48 × 605.48
  4. Step 4: Simplify right side
    461.32x = 366,609.55
  5. Step 5: Solve for x
    x = 366,609.55/461.32
  6. Step 6: Final answer
    x = 794.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.