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Finding the Third Proportional to 444,233 and 633,120

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Solution

The third proportional to 444,233 and 633,120 is: 902,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,233 : 633,120 = 633,120 : x
  2. Step 2: Convert to fraction form
    444,233/633,120 = 633,120/x
  3. Step 3: Cross multiply
    444,233x = 633,120 × 633,120
  4. Step 4: Simplify right side
    444,233x = 400,840,934,400
  5. Step 5: Solve for x
    x = 400,840,934,400/444,233
  6. Step 6: Final answer
    x = 902,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.