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Finding the Third Proportional to 222,012 and 484,624

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Solution

The third proportional to 222,012 and 484,624 is: 1,057,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,012 : 484,624 = 484,624 : x
  2. Step 2: Convert to fraction form
    222,012/484,624 = 484,624/x
  3. Step 3: Cross multiply
    222,012x = 484,624 × 484,624
  4. Step 4: Simplify right side
    222,012x = 234,860,421,376
  5. Step 5: Solve for x
    x = 234,860,421,376/222,012
  6. Step 6: Final answer
    x = 1,057,872.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.