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Finding the Third Proportional to 449.93 and 966.78

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Solution

The third proportional to 449.93 and 966.78 is: 2,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.93 : 966.78 = 966.78 : x
  2. Step 2: Convert to fraction form
    449.93/966.78 = 966.78/x
  3. Step 3: Cross multiply
    449.93x = 966.78 × 966.78
  4. Step 4: Simplify right side
    449.93x = 934,662.21
  5. Step 5: Solve for x
    x = 934,662.21/449.93
  6. Step 6: Final answer
    x = 2,077.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.