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Finding the Third Proportional to 441,150 and 966,315

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Solution

The third proportional to 441,150 and 966,315 is: 2,116,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,150 : 966,315 = 966,315 : x
  2. Step 2: Convert to fraction form
    441,150/966,315 = 966,315/x
  3. Step 3: Cross multiply
    441,150x = 966,315 × 966,315
  4. Step 4: Simplify right side
    441,150x = 933,764,679,225
  5. Step 5: Solve for x
    x = 933,764,679,225/441,150
  6. Step 6: Final answer
    x = 2,116,660.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.