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Finding the Third Proportional to 248,769 and 394,546

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Solution

The third proportional to 248,769 and 394,546 is: 625,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,769 : 394,546 = 394,546 : x
  2. Step 2: Convert to fraction form
    248,769/394,546 = 394,546/x
  3. Step 3: Cross multiply
    248,769x = 394,546 × 394,546
  4. Step 4: Simplify right side
    248,769x = 155,666,546,116
  5. Step 5: Solve for x
    x = 155,666,546,116/248,769
  6. Step 6: Final answer
    x = 625,747.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.