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Finding the Third Proportional to 375.44 and 501.56

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Solution

The third proportional to 375.44 and 501.56 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 501.56 = 501.56 : x
  2. Step 2: Convert to fraction form
    375.44/501.56 = 501.56/x
  3. Step 3: Cross multiply
    375.44x = 501.56 × 501.56
  4. Step 4: Simplify right side
    375.44x = 251,564.94
  5. Step 5: Solve for x
    x = 251,564.94/375.44
  6. Step 6: Final answer
    x = 670.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.