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Finding the Third Proportional to 222,282 and 480,099

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Solution

The third proportional to 222,282 and 480,099 is: 1,036,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,282 : 480,099 = 480,099 : x
  2. Step 2: Convert to fraction form
    222,282/480,099 = 480,099/x
  3. Step 3: Cross multiply
    222,282x = 480,099 × 480,099
  4. Step 4: Simplify right side
    222,282x = 230,495,049,801
  5. Step 5: Solve for x
    x = 230,495,049,801/222,282
  6. Step 6: Final answer
    x = 1,036,948.78

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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.