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Finding the Third Proportional to 222,022.50 and 479,562

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Solution

The third proportional to 222,022.50 and 479,562 is: 1,035,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,022.50 : 479,562 = 479,562 : x
  2. Step 2: Convert to fraction form
    222,022.50/479,562 = 479,562/x
  3. Step 3: Cross multiply
    222,022.50x = 479,562 × 479,562
  4. Step 4: Simplify right side
    222,022.50x = 229,979,711,844
  5. Step 5: Solve for x
    x = 229,979,711,844/222,022.50
  6. Step 6: Final answer
    x = 1,035,839.66

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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.