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Finding the Third Proportional to 461.06 and 634.03

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Solution

The third proportional to 461.06 and 634.03 is: 871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 634.03 = 634.03 : x
  2. Step 2: Convert to fraction form
    461.06/634.03 = 634.03/x
  3. Step 3: Cross multiply
    461.06x = 634.03 × 634.03
  4. Step 4: Simplify right side
    461.06x = 401,995.63
  5. Step 5: Solve for x
    x = 401,995.63/461.06
  6. Step 6: Final answer
    x = 871.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.