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Finding the Third Proportional to 222,095 and 488,467

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Solution

The third proportional to 222,095 and 488,467 is: 1,074,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,095 : 488,467 = 488,467 : x
  2. Step 2: Convert to fraction form
    222,095/488,467 = 488,467/x
  3. Step 3: Cross multiply
    222,095x = 488,467 × 488,467
  4. Step 4: Simplify right side
    222,095x = 238,600,010,089
  5. Step 5: Solve for x
    x = 238,600,010,089/222,095
  6. Step 6: Final answer
    x = 1,074,315.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.