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Finding the Third Proportional to 222,770 and 480,314

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Solution

The third proportional to 222,770 and 480,314 is: 1,035,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,770 : 480,314 = 480,314 : x
  2. Step 2: Convert to fraction form
    222,770/480,314 = 480,314/x
  3. Step 3: Cross multiply
    222,770x = 480,314 × 480,314
  4. Step 4: Simplify right side
    222,770x = 230,701,538,596
  5. Step 5: Solve for x
    x = 230,701,538,596/222,770
  6. Step 6: Final answer
    x = 1,035,604.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.