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Finding the Third Proportional to 227,079 and 488,802

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Solution

The third proportional to 227,079 and 488,802 is: 1,052,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,079 : 488,802 = 488,802 : x
  2. Step 2: Convert to fraction form
    227,079/488,802 = 488,802/x
  3. Step 3: Cross multiply
    227,079x = 488,802 × 488,802
  4. Step 4: Simplify right side
    227,079x = 238,927,395,204
  5. Step 5: Solve for x
    x = 238,927,395,204/227,079
  6. Step 6: Final answer
    x = 1,052,177.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.