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Finding the Third Proportional to 222,570 and 471,624.75

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Solution

The third proportional to 222,570 and 471,624.75 is: 999,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,570 : 471,624.75 = 471,624.75 : x
  2. Step 2: Convert to fraction form
    222,570/471,624.75 = 471,624.75/x
  3. Step 3: Cross multiply
    222,570x = 471,624.75 × 471,624.75
  4. Step 4: Simplify right side
    222,570x = 222,429,904,812.56
  5. Step 5: Solve for x
    x = 222,429,904,812.56/222,570
  6. Step 6: Final answer
    x = 999,370.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.