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Finding the Third Proportional to 424.66 and 940.45

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Solution

The third proportional to 424.66 and 940.45 is: 2,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.66 : 940.45 = 940.45 : x
  2. Step 2: Convert to fraction form
    424.66/940.45 = 940.45/x
  3. Step 3: Cross multiply
    424.66x = 940.45 × 940.45
  4. Step 4: Simplify right side
    424.66x = 884,452.08
  5. Step 5: Solve for x
    x = 884,452.08/424.66
  6. Step 6: Final answer
    x = 2,082.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.