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Finding the Third Proportional to 222,750 and 479,970

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Solution

The third proportional to 222,750 and 479,970 is: 1,034,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,750 : 479,970 = 479,970 : x
  2. Step 2: Convert to fraction form
    222,750/479,970 = 479,970/x
  3. Step 3: Cross multiply
    222,750x = 479,970 × 479,970
  4. Step 4: Simplify right side
    222,750x = 230,371,200,900
  5. Step 5: Solve for x
    x = 230,371,200,900/222,750
  6. Step 6: Final answer
    x = 1,034,214.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.