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Finding the Third Proportional to 452.91 and 992.30

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Solution

The third proportional to 452.91 and 992.30 is: 2,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.91 : 992.30 = 992.30 : x
  2. Step 2: Convert to fraction form
    452.91/992.30 = 992.30/x
  3. Step 3: Cross multiply
    452.91x = 992.30 × 992.30
  4. Step 4: Simplify right side
    452.91x = 984,653.09
  5. Step 5: Solve for x
    x = 984,653.09/452.91
  6. Step 6: Final answer
    x = 2,174.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.