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Finding the Third Proportional to 374 and 763.25

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Solution

The third proportional to 374 and 763.25 is: 1,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374 : 763.25 = 763.25 : x
  2. Step 2: Convert to fraction form
    374/763.25 = 763.25/x
  3. Step 3: Cross multiply
    374x = 763.25 × 763.25
  4. Step 4: Simplify right side
    374x = 582,550.56
  5. Step 5: Solve for x
    x = 582,550.56/374
  6. Step 6: Final answer
    x = 1,557.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.