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Finding the Third Proportional to 444,247 and 633,141

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Solution

The third proportional to 444,247 and 633,141 is: 902,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,247 : 633,141 = 633,141 : x
  2. Step 2: Convert to fraction form
    444,247/633,141 = 633,141/x
  3. Step 3: Cross multiply
    444,247x = 633,141 × 633,141
  4. Step 4: Simplify right side
    444,247x = 400,867,525,881
  5. Step 5: Solve for x
    x = 400,867,525,881/444,247
  6. Step 6: Final answer
    x = 902,352.80

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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.