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Finding the Third Proportional to 253,524 and 550,844

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Solution

The third proportional to 253,524 and 550,844 is: 1,196,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,524 : 550,844 = 550,844 : x
  2. Step 2: Convert to fraction form
    253,524/550,844 = 550,844/x
  3. Step 3: Cross multiply
    253,524x = 550,844 × 550,844
  4. Step 4: Simplify right side
    253,524x = 303,429,112,336
  5. Step 5: Solve for x
    x = 303,429,112,336/253,524
  6. Step 6: Final answer
    x = 1,196,845.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.