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Finding the Third Proportional to 370.75 and 501.25

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Solution

The third proportional to 370.75 and 501.25 is: 677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 501.25 = 501.25 : x
  2. Step 2: Convert to fraction form
    370.75/501.25 = 501.25/x
  3. Step 3: Cross multiply
    370.75x = 501.25 × 501.25
  4. Step 4: Simplify right side
    370.75x = 251,251.56
  5. Step 5: Solve for x
    x = 251,251.56/370.75
  6. Step 6: Final answer
    x = 677.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.