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Finding the Third Proportional to 222,442 and 484,052

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Solution

The third proportional to 222,442 and 484,052 is: 1,053,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,442 : 484,052 = 484,052 : x
  2. Step 2: Convert to fraction form
    222,442/484,052 = 484,052/x
  3. Step 3: Cross multiply
    222,442x = 484,052 × 484,052
  4. Step 4: Simplify right side
    222,442x = 234,306,338,704
  5. Step 5: Solve for x
    x = 234,306,338,704/222,442
  6. Step 6: Final answer
    x = 1,053,336.77

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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.