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Finding the Third Proportional to 222,482 and 476,620

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Solution

The third proportional to 222,482 and 476,620 is: 1,021,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,482 : 476,620 = 476,620 : x
  2. Step 2: Convert to fraction form
    222,482/476,620 = 476,620/x
  3. Step 3: Cross multiply
    222,482x = 476,620 × 476,620
  4. Step 4: Simplify right side
    222,482x = 227,166,624,400
  5. Step 5: Solve for x
    x = 227,166,624,400/222,482
  6. Step 6: Final answer
    x = 1,021,056.20

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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.