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Finding the Third Proportional to 467.73 and 1,021.95

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Solution

The third proportional to 467.73 and 1,021.95 is: 2,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.73 : 1,021.95 = 1,021.95 : x
  2. Step 2: Convert to fraction form
    467.73/1,021.95 = 1,021.95/x
  3. Step 3: Cross multiply
    467.73x = 1,021.95 × 1,021.95
  4. Step 4: Simplify right side
    467.73x = 1,044,387.19
  5. Step 5: Solve for x
    x = 1,044,387.19/467.73
  6. Step 6: Final answer
    x = 2,232.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.