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Finding the Third Proportional to 222,441.19 and 524,874.94

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Solution

The third proportional to 222,441.19 and 524,874.94 is: 1,238,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,441.19 : 524,874.94 = 524,874.94 : x
  2. Step 2: Convert to fraction form
    222,441.19/524,874.94 = 524,874.94/x
  3. Step 3: Cross multiply
    222,441.19x = 524,874.94 × 524,874.94
  4. Step 4: Simplify right side
    222,441.19x = 275,493,700,015.63
  5. Step 5: Solve for x
    x = 275,493,700,015.63/222,441.19
  6. Step 6: Final answer
    x = 1,238,501.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.