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Finding the Third Proportional to 226,818 and 482,308

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Solution

The third proportional to 226,818 and 482,308 is: 1,025,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,818 : 482,308 = 482,308 : x
  2. Step 2: Convert to fraction form
    226,818/482,308 = 482,308/x
  3. Step 3: Cross multiply
    226,818x = 482,308 × 482,308
  4. Step 4: Simplify right side
    226,818x = 232,621,006,864
  5. Step 5: Solve for x
    x = 232,621,006,864/226,818
  6. Step 6: Final answer
    x = 1,025,584.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.