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Finding the Third Proportional to 445,353 and 960,096

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Solution

The third proportional to 445,353 and 960,096 is: 2,069,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,353 : 960,096 = 960,096 : x
  2. Step 2: Convert to fraction form
    445,353/960,096 = 960,096/x
  3. Step 3: Cross multiply
    445,353x = 960,096 × 960,096
  4. Step 4: Simplify right side
    445,353x = 921,784,329,216
  5. Step 5: Solve for x
    x = 921,784,329,216/445,353
  6. Step 6: Final answer
    x = 2,069,783.59

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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.