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Finding the Third Proportional to 444,177 and 633,042

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Solution

The third proportional to 444,177 and 633,042 is: 902,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,177 : 633,042 = 633,042 : x
  2. Step 2: Convert to fraction form
    444,177/633,042 = 633,042/x
  3. Step 3: Cross multiply
    444,177x = 633,042 × 633,042
  4. Step 4: Simplify right side
    444,177x = 400,742,173,764
  5. Step 5: Solve for x
    x = 400,742,173,764/444,177
  6. Step 6: Final answer
    x = 902,212.80

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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.