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Finding the Third Proportional to 222,265 and 480,070

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Solution

The third proportional to 222,265 and 480,070 is: 1,036,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,265 : 480,070 = 480,070 : x
  2. Step 2: Convert to fraction form
    222,265/480,070 = 480,070/x
  3. Step 3: Cross multiply
    222,265x = 480,070 × 480,070
  4. Step 4: Simplify right side
    222,265x = 230,467,204,900
  5. Step 5: Solve for x
    x = 230,467,204,900/222,265
  6. Step 6: Final answer
    x = 1,036,902.82

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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.