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Finding the Third Proportional to 442.97 and 973.27

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Solution

The third proportional to 442.97 and 973.27 is: 2,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 973.27 = 973.27 : x
  2. Step 2: Convert to fraction form
    442.97/973.27 = 973.27/x
  3. Step 3: Cross multiply
    442.97x = 973.27 × 973.27
  4. Step 4: Simplify right side
    442.97x = 947,245.98
  5. Step 5: Solve for x
    x = 947,245.98/442.97
  6. Step 6: Final answer
    x = 2,138.40

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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.