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Finding the Third Proportional to 662.25 and 1,457.25

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Solution

The third proportional to 662.25 and 1,457.25 is: 3,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 1,457.25 = 1,457.25 : x
  2. Step 2: Convert to fraction form
    662.25/1,457.25 = 1,457.25/x
  3. Step 3: Cross multiply
    662.25x = 1,457.25 × 1,457.25
  4. Step 4: Simplify right side
    662.25x = 2,123,577.56
  5. Step 5: Solve for x
    x = 2,123,577.56/662.25
  6. Step 6: Final answer
    x = 3,206.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.