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Finding the Third Proportional to 222,261 and 480,063

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Solution

The third proportional to 222,261 and 480,063 is: 1,036,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,261 : 480,063 = 480,063 : x
  2. Step 2: Convert to fraction form
    222,261/480,063 = 480,063/x
  3. Step 3: Cross multiply
    222,261x = 480,063 × 480,063
  4. Step 4: Simplify right side
    222,261x = 230,460,483,969
  5. Step 5: Solve for x
    x = 230,460,483,969/222,261
  6. Step 6: Final answer
    x = 1,036,891.24

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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.