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Finding the Third Proportional to 448.45 and 988.24

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Solution

The third proportional to 448.45 and 988.24 is: 2,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.45 : 988.24 = 988.24 : x
  2. Step 2: Convert to fraction form
    448.45/988.24 = 988.24/x
  3. Step 3: Cross multiply
    448.45x = 988.24 × 988.24
  4. Step 4: Simplify right side
    448.45x = 976,622.62
  5. Step 5: Solve for x
    x = 976,622.62/448.45
  6. Step 6: Final answer
    x = 2,177.76

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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.