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Finding the Third Proportional to 450,180 and 960,624

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Solution

The third proportional to 450,180 and 960,624 is: 2,049,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,180 : 960,624 = 960,624 : x
  2. Step 2: Convert to fraction form
    450,180/960,624 = 960,624/x
  3. Step 3: Cross multiply
    450,180x = 960,624 × 960,624
  4. Step 4: Simplify right side
    450,180x = 922,798,469,376
  5. Step 5: Solve for x
    x = 922,798,469,376/450,180
  6. Step 6: Final answer
    x = 2,049,843.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.