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Finding the Third Proportional to 444,508 and 960,096

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Solution

The third proportional to 444,508 and 960,096 is: 2,073,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,508 : 960,096 = 960,096 : x
  2. Step 2: Convert to fraction form
    444,508/960,096 = 960,096/x
  3. Step 3: Cross multiply
    444,508x = 960,096 × 960,096
  4. Step 4: Simplify right side
    444,508x = 921,784,329,216
  5. Step 5: Solve for x
    x = 921,784,329,216/444,508
  6. Step 6: Final answer
    x = 2,073,718.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.