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Finding the Third Proportional to 448.24 and 605.18

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Solution

The third proportional to 448.24 and 605.18 is: 817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.24 : 605.18 = 605.18 : x
  2. Step 2: Convert to fraction form
    448.24/605.18 = 605.18/x
  3. Step 3: Cross multiply
    448.24x = 605.18 × 605.18
  4. Step 4: Simplify right side
    448.24x = 366,242.45
  5. Step 5: Solve for x
    x = 366,242.45/448.24
  6. Step 6: Final answer
    x = 817.06

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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.