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Finding the Third Proportional to 222,843 and 480,337

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Solution

The third proportional to 222,843 and 480,337 is: 1,035,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,843 : 480,337 = 480,337 : x
  2. Step 2: Convert to fraction form
    222,843/480,337 = 480,337/x
  3. Step 3: Cross multiply
    222,843x = 480,337 × 480,337
  4. Step 4: Simplify right side
    222,843x = 230,723,633,569
  5. Step 5: Solve for x
    x = 230,723,633,569/222,843
  6. Step 6: Final answer
    x = 1,035,364.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.