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Finding the Third Proportional to 222,072 and 488,431

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Solution

The third proportional to 222,072 and 488,431 is: 1,074,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,072 : 488,431 = 488,431 : x
  2. Step 2: Convert to fraction form
    222,072/488,431 = 488,431/x
  3. Step 3: Cross multiply
    222,072x = 488,431 × 488,431
  4. Step 4: Simplify right side
    222,072x = 238,564,841,761
  5. Step 5: Solve for x
    x = 238,564,841,761/222,072
  6. Step 6: Final answer
    x = 1,074,267.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.