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Finding the Third Proportional to 222,860 and 476,822

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Solution

The third proportional to 222,860 and 476,822 is: 1,020,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,860 : 476,822 = 476,822 : x
  2. Step 2: Convert to fraction form
    222,860/476,822 = 476,822/x
  3. Step 3: Cross multiply
    222,860x = 476,822 × 476,822
  4. Step 4: Simplify right side
    222,860x = 227,359,219,684
  5. Step 5: Solve for x
    x = 227,359,219,684/222,860
  6. Step 6: Final answer
    x = 1,020,188.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.