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Finding the Third Proportional to 222,764 and 482,464

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Solution

The third proportional to 222,764 and 482,464 is: 1,044,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,764 : 482,464 = 482,464 : x
  2. Step 2: Convert to fraction form
    222,764/482,464 = 482,464/x
  3. Step 3: Cross multiply
    222,764x = 482,464 × 482,464
  4. Step 4: Simplify right side
    222,764x = 232,771,511,296
  5. Step 5: Solve for x
    x = 232,771,511,296/222,764
  6. Step 6: Final answer
    x = 1,044,924.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.