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Finding the Third Proportional to 222,260 and 480,061

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Solution

The third proportional to 222,260 and 480,061 is: 1,036,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,260 : 480,061 = 480,061 : x
  2. Step 2: Convert to fraction form
    222,260/480,061 = 480,061/x
  3. Step 3: Cross multiply
    222,260x = 480,061 × 480,061
  4. Step 4: Simplify right side
    222,260x = 230,458,563,721
  5. Step 5: Solve for x
    x = 230,458,563,721/222,260
  6. Step 6: Final answer
    x = 1,036,887.27

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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.