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Finding the Third Proportional to 223,524 and 479,009.25

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Solution

The third proportional to 223,524 and 479,009.25 is: 1,026,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,524 : 479,009.25 = 479,009.25 : x
  2. Step 2: Convert to fraction form
    223,524/479,009.25 = 479,009.25/x
  3. Step 3: Cross multiply
    223,524x = 479,009.25 × 479,009.25
  4. Step 4: Simplify right side
    223,524x = 229,449,861,585.56
  5. Step 5: Solve for x
    x = 229,449,861,585.56/223,524
  6. Step 6: Final answer
    x = 1,026,511.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.