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Finding the Third Proportional to 442.50 and 963.19

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Solution

The third proportional to 442.50 and 963.19 is: 2,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 963.19 = 963.19 : x
  2. Step 2: Convert to fraction form
    442.50/963.19 = 963.19/x
  3. Step 3: Cross multiply
    442.50x = 963.19 × 963.19
  4. Step 4: Simplify right side
    442.50x = 927,730.16
  5. Step 5: Solve for x
    x = 927,730.16/442.50
  6. Step 6: Final answer
    x = 2,096.57

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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.