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Finding the Third Proportional to 341.44 and 504.56

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Solution

The third proportional to 341.44 and 504.56 is: 745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 504.56 = 504.56 : x
  2. Step 2: Convert to fraction form
    341.44/504.56 = 504.56/x
  3. Step 3: Cross multiply
    341.44x = 504.56 × 504.56
  4. Step 4: Simplify right side
    341.44x = 254,583.32
  5. Step 5: Solve for x
    x = 254,583.32/341.44
  6. Step 6: Final answer
    x = 745.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.