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Finding the Third Proportional to 226,816 and 488,298

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Solution

The third proportional to 226,816 and 488,298 is: 1,051,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,816 : 488,298 = 488,298 : x
  2. Step 2: Convert to fraction form
    226,816/488,298 = 488,298/x
  3. Step 3: Cross multiply
    226,816x = 488,298 × 488,298
  4. Step 4: Simplify right side
    226,816x = 238,434,936,804
  5. Step 5: Solve for x
    x = 238,434,936,804/226,816
  6. Step 6: Final answer
    x = 1,051,226.27

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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.