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Finding the Third Proportional to 442.97 and 946.69

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Solution

The third proportional to 442.97 and 946.69 is: 2,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 946.69 = 946.69 : x
  2. Step 2: Convert to fraction form
    442.97/946.69 = 946.69/x
  3. Step 3: Cross multiply
    442.97x = 946.69 × 946.69
  4. Step 4: Simplify right side
    442.97x = 896,217.22
  5. Step 5: Solve for x
    x = 896,217.22/442.97
  6. Step 6: Final answer
    x = 2,023.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.