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Finding the Third Proportional to 454.92 and 963.84

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Solution

The third proportional to 454.92 and 963.84 is: 2,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 963.84 = 963.84 : x
  2. Step 2: Convert to fraction form
    454.92/963.84 = 963.84/x
  3. Step 3: Cross multiply
    454.92x = 963.84 × 963.84
  4. Step 4: Simplify right side
    454.92x = 928,994.77
  5. Step 5: Solve for x
    x = 928,994.77/454.92
  6. Step 6: Final answer
    x = 2,042.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.