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Finding the Third Proportional to 444,228 and 633,114

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Solution

The third proportional to 444,228 and 633,114 is: 902,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,228 : 633,114 = 633,114 : x
  2. Step 2: Convert to fraction form
    444,228/633,114 = 633,114/x
  3. Step 3: Cross multiply
    444,228x = 633,114 × 633,114
  4. Step 4: Simplify right side
    444,228x = 400,833,336,996
  5. Step 5: Solve for x
    x = 400,833,336,996/444,228
  6. Step 6: Final answer
    x = 902,314.44

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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.