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Finding the Third Proportional to 444,234 and 633,123

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Solution

The third proportional to 444,234 and 633,123 is: 902,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,234 : 633,123 = 633,123 : x
  2. Step 2: Convert to fraction form
    444,234/633,123 = 633,123/x
  3. Step 3: Cross multiply
    444,234x = 633,123 × 633,123
  4. Step 4: Simplify right side
    444,234x = 400,844,733,129
  5. Step 5: Solve for x
    x = 400,844,733,129/444,234
  6. Step 6: Final answer
    x = 902,327.90

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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.