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Finding the Third Proportional to 554.82 and 701.24

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Solution

The third proportional to 554.82 and 701.24 is: 886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.82 : 701.24 = 701.24 : x
  2. Step 2: Convert to fraction form
    554.82/701.24 = 701.24/x
  3. Step 3: Cross multiply
    554.82x = 701.24 × 701.24
  4. Step 4: Simplify right side
    554.82x = 491,731.02
  5. Step 5: Solve for x
    x = 491,731.02/554.82
  6. Step 6: Final answer
    x = 886.29

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.