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Finding the Third Proportional to 253,558 and 389,772

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Solution

The third proportional to 253,558 and 389,772 is: 599,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,558 : 389,772 = 389,772 : x
  2. Step 2: Convert to fraction form
    253,558/389,772 = 389,772/x
  3. Step 3: Cross multiply
    253,558x = 389,772 × 389,772
  4. Step 4: Simplify right side
    253,558x = 151,922,211,984
  5. Step 5: Solve for x
    x = 151,922,211,984/253,558
  6. Step 6: Final answer
    x = 599,161.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.