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Finding the Third Proportional to 370.75 and 490.88

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Solution

The third proportional to 370.75 and 490.88 is: 649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 490.88 = 490.88 : x
  2. Step 2: Convert to fraction form
    370.75/490.88 = 490.88/x
  3. Step 3: Cross multiply
    370.75x = 490.88 × 490.88
  4. Step 4: Simplify right side
    370.75x = 240,958.27
  5. Step 5: Solve for x
    x = 240,958.27/370.75
  6. Step 6: Final answer
    x = 649.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.