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Finding the Third Proportional to 444,652 and 959,288

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Solution

The third proportional to 444,652 and 959,288 is: 2,069,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,652 : 959,288 = 959,288 : x
  2. Step 2: Convert to fraction form
    444,652/959,288 = 959,288/x
  3. Step 3: Cross multiply
    444,652x = 959,288 × 959,288
  4. Step 4: Simplify right side
    444,652x = 920,233,466,944
  5. Step 5: Solve for x
    x = 920,233,466,944/444,652
  6. Step 6: Final answer
    x = 2,069,558.82

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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.